Final answer:
To solve for n in the proportion 12/19 = 7/n, we cross multiply to get 12 * n = 19 * 7. Then we divide 133 by 12 to get n, which results in approximately 11.08.
Step-by-step explanation:
To solve for n in the proportion 12/19 = 7/n, we will use cross multiplication. Cross multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction and setting the two products equal to each other. This is a fundamental technique in solving a proportion.
Step 1: Set up the equation using cross multiplication, which gives us 12 * n = 19 * 7.
Step 2: Perform the multiplication on the right side: 19 * 7 = 133.
Step 3: Set up the equation with the multiplication result, which is 12 * n = 133.
Step 4: Divide both sides of the equation by 12 to solve for n, which gives us n = 133 / 12.
Step 5: Final step is to divide 133 by 12 which yields an answer of about 11.08.