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Finding the Fourth Proportional to 10,732.69, 14,816.67 and 8,337.30

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Solution

The fourth proportional to 10,732.69, 14,816.67 and 8,337.30 is: 11,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.69 : 14,816.67 = 8,337.30 : x
  2. Step 2: Convert to fraction form
    10,732.69/14,816.67 = 8,337.30/x
  3. Step 3: Cross multiply
    10,732.69x = 14,816.67 × 8,337.30
  4. Step 4: Simplify right side
    10,732.69x = 123,530,982.86
  5. Step 5: Solve for x
    x = 123,530,982.86/10,732.69
  6. Step 6: Final answer
    x = 11,509.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.