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Finding the Fourth Proportional to 10,700.31, 16,037.10 and 5,152.62

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Solution

The fourth proportional to 10,700.31, 16,037.10 and 5,152.62 is: 7,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.31 : 16,037.10 = 5,152.62 : x
  2. Step 2: Convert to fraction form
    10,700.31/16,037.10 = 5,152.62/x
  3. Step 3: Cross multiply
    10,700.31x = 16,037.10 × 5,152.62
  4. Step 4: Simplify right side
    10,700.31x = 82,633,082.20
  5. Step 5: Solve for x
    x = 82,633,082.20/10,700.31
  6. Step 6: Final answer
    x = 7,722.49

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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.