Given that one soft gelatin capsule contains $4 \frac{11}{4} \mathrm{~mL}$ of cod liver oil, we can convert the mixed number to an improper fraction:
$4 \frac{11}{4} = \frac{4 \times 4 + 11}{4} = \frac{16 + 11}{4} = \frac{27}{4} \mathrm{~mL}$
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