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Finding the Fourth Proportional to 10,071.60, 15,111.51 and 9,075.16

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Solution

The fourth proportional to 10,071.60, 15,111.51 and 9,075.16 is: 13,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.60 : 15,111.51 = 9,075.16 : x
  2. Step 2: Convert to fraction form
    10,071.60/15,111.51 = 9,075.16/x
  3. Step 3: Cross multiply
    10,071.60x = 15,111.51 × 9,075.16
  4. Step 4: Simplify right side
    10,071.60x = 137,139,371.09
  5. Step 5: Solve for x
    x = 137,139,371.09/10,071.60
  6. Step 6: Final answer
    x = 13,616.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.