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Finding the Fourth Proportional to 11,572.16, 17,359.04 and 5,727.20

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Solution

The fourth proportional to 11,572.16, 17,359.04 and 5,727.20 is: 8,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.16 : 17,359.04 = 5,727.20 : x
  2. Step 2: Convert to fraction form
    11,572.16/17,359.04 = 5,727.20/x
  3. Step 3: Cross multiply
    11,572.16x = 17,359.04 × 5,727.20
  4. Step 4: Simplify right side
    11,572.16x = 99,418,578.46
  5. Step 5: Solve for x
    x = 99,418,578.46/11,572.16
  6. Step 6: Final answer
    x = 8,591.19

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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.