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Finding the Fourth Proportional to 11,572.34, 17,359.31 and 5,727.38

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Solution

The fourth proportional to 11,572.34, 17,359.31 and 5,727.38 is: 8,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.34 : 17,359.31 = 5,727.38 : x
  2. Step 2: Convert to fraction form
    11,572.34/17,359.31 = 5,727.38/x
  3. Step 3: Cross multiply
    11,572.34x = 17,359.31 × 5,727.38
  4. Step 4: Simplify right side
    11,572.34x = 99,423,292.43
  5. Step 5: Solve for x
    x = 99,423,292.43/11,572.34
  6. Step 6: Final answer
    x = 8,591.46

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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.