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Finding the Fourth Proportional to 10,609.68, 15,911.82 and 4,033.92

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Solution

The fourth proportional to 10,609.68, 15,911.82 and 4,033.92 is: 6,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.68 : 15,911.82 = 4,033.92 : x
  2. Step 2: Convert to fraction form
    10,609.68/15,911.82 = 4,033.92/x
  3. Step 3: Cross multiply
    10,609.68x = 15,911.82 × 4,033.92
  4. Step 4: Simplify right side
    10,609.68x = 64,187,008.93
  5. Step 5: Solve for x
    x = 64,187,008.93/10,609.68
  6. Step 6: Final answer
    x = 6,049.85

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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.