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Finding the Fourth Proportional to 10,842.14, 16,265.92 and 5,002.86

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Solution

The fourth proportional to 10,842.14, 16,265.92 and 5,002.86 is: 7,505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.14 : 16,265.92 = 5,002.86 : x
  2. Step 2: Convert to fraction form
    10,842.14/16,265.92 = 5,002.86/x
  3. Step 3: Cross multiply
    10,842.14x = 16,265.92 × 5,002.86
  4. Step 4: Simplify right side
    10,842.14x = 81,376,120.53
  5. Step 5: Solve for x
    x = 81,376,120.53/10,842.14
  6. Step 6: Final answer
    x = 7,505.54

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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.