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Finding the Fourth Proportional to 10,507.92, 15,761.96 and 4,266.04

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Solution

The fourth proportional to 10,507.92, 15,761.96 and 4,266.04 is: 6,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.92 : 15,761.96 = 4,266.04 : x
  2. Step 2: Convert to fraction form
    10,507.92/15,761.96 = 4,266.04/x
  3. Step 3: Cross multiply
    10,507.92x = 15,761.96 × 4,266.04
  4. Step 4: Simplify right side
    10,507.92x = 67,241,151.84
  5. Step 5: Solve for x
    x = 67,241,151.84/10,507.92
  6. Step 6: Final answer
    x = 6,399.09

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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.