There are actually 278 words that have 4 vowels and 10 consonants! Please note that this is copy and pasted from a website, and all credit gots to them.
Words that have 4 vowels and 10 consonants: photosynthesis, chemosynthesis, accomplishment, chromatography, gerrymandering, abstractedness, staphylococcus, acknowledgment, absentmindedly, electrophysics, thermodynamics, candlelighting, knickerbockers, weightlessness, intermittently, hypothetically, thoughtfulness, farsightedness, disenchantment, systematicness, fatherlessness, flabbergasting, delightfulness, constructivism, astrophysicist, Caryophyllales, achondroplasty, hypothyroidism, Wollstonecraft, antiarrhythmic, insightfulness, philanthropist, fingerspelling, schoolmistress, surprisingness, asymptotically, effortlessness, unskillfulness, erythrocytosis, unchangingness, breathlessness, changelessness, disgustingness, motherlessness, metempsychosis, overstretching, astrochemistry, worthwhileness, strongheadness, and regardlessness. This is only the first page.
CoyoteFlower
A word with 4 vowels and 6 consonants would have a total of 10 letters. One example of such a word could be "education." This word has the vowels e, u, a, and i, and the consonants d, c, t, n, and, and has a total of 10 letters.
There are more consonants.
There are 4 vowels and 7 consonants in this word. So, 4/11 of the letters are vowels.
independent = ieee, 4 vowels, and ndpndnt, 7 consonants, therefore there are three fewer vowels than consonants.
Strengths
Strength.
4
4 to 10
There are 6 vowels and 7 consonants so there is 1 more consonant
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Dopamine. I'm sure that there are others but I can't think of them at the moment.
One example of a 10-letter word with 4 vowels and 6 consonants is "education." In this word, the vowels are 'e,' 'u,' 'a,' and 'i,' while the consonants are 'd,' 'c,' 't,' 'n,' 'o,' and 'n.' This word meets all the specified criteria, making it a suitable answer to the question.