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Finding the Fourth Proportional to 10,356.24, 15,534.42 and 7,061.16

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Solution

The fourth proportional to 10,356.24, 15,534.42 and 7,061.16 is: 10,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.24 : 15,534.42 = 7,061.16 : x
  2. Step 2: Convert to fraction form
    10,356.24/15,534.42 = 7,061.16/x
  3. Step 3: Cross multiply
    10,356.24x = 15,534.42 × 7,061.16
  4. Step 4: Simplify right side
    10,356.24x = 109,691,025.13
  5. Step 5: Solve for x
    x = 109,691,025.13/10,356.24
  6. Step 6: Final answer
    x = 10,591.78

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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.