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Finding the Fourth Proportional to 8,505.92, 12,758.98 and 2,265.90

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Solution

The fourth proportional to 8,505.92, 12,758.98 and 2,265.90 is: 3,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.92 : 12,758.98 = 2,265.90 : x
  2. Step 2: Convert to fraction form
    8,505.92/12,758.98 = 2,265.90/x
  3. Step 3: Cross multiply
    8,505.92x = 12,758.98 × 2,265.90
  4. Step 4: Simplify right side
    8,505.92x = 28,910,572.78
  5. Step 5: Solve for x
    x = 28,910,572.78/8,505.92
  6. Step 6: Final answer
    x = 3,398.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.