Final answer:
To administer 28mg of the medicine, 70 milliliters of the medicinal liquid would be needed.
Step-by-step explanation:
To find the total volume of the medicinal liquid needed to administer 28mg of the medicine, we can set up a proportion using the given concentration. The concentration is 4mg/10mL, so we can set up the proportion:
4mg/10mL = 28mg/x mL
Cross multiplying, we get:
4x = (10)(28)
Simplifying, we find:
x = 280/4
x = 70
Therefore, 70 milliliters of the medicinal liquid would be needed to administer 28mg of the medicine.