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Finding the Fourth Proportional to 10,524.96, 15,796.08 and 5,332.32

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Solution

The fourth proportional to 10,524.96, 15,796.08 and 5,332.32 is: 8,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.96 : 15,796.08 = 5,332.32 : x
  2. Step 2: Convert to fraction form
    10,524.96/15,796.08 = 5,332.32/x
  3. Step 3: Cross multiply
    10,524.96x = 15,796.08 × 5,332.32
  4. Step 4: Simplify right side
    10,524.96x = 84,229,753.31
  5. Step 5: Solve for x
    x = 84,229,753.31/10,524.96
  6. Step 6: Final answer
    x = 8,002.86

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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.