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Finding the Fourth Proportional to 10,714.52, 16,082.15 and 5,171.75

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Solution

The fourth proportional to 10,714.52, 16,082.15 and 5,171.75 is: 7,762.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.52 : 16,082.15 = 5,171.75 : x
  2. Step 2: Convert to fraction form
    10,714.52/16,082.15 = 5,171.75/x
  3. Step 3: Cross multiply
    10,714.52x = 16,082.15 × 5,171.75
  4. Step 4: Simplify right side
    10,714.52x = 83,172,752.99
  5. Step 5: Solve for x
    x = 83,172,752.99/10,714.52
  6. Step 6: Final answer
    x = 7,762.62

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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.