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Finding the Fourth Proportional to 10,480.48, 15,720.92 and 8,390.78

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Solution

The fourth proportional to 10,480.48, 15,720.92 and 8,390.78 is: 12,586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.48 : 15,720.92 = 8,390.78 : x
  2. Step 2: Convert to fraction form
    10,480.48/15,720.92 = 8,390.78/x
  3. Step 3: Cross multiply
    10,480.48x = 15,720.92 × 8,390.78
  4. Step 4: Simplify right side
    10,480.48x = 131,910,781.12
  5. Step 5: Solve for x
    x = 131,910,781.12/10,480.48
  6. Step 6: Final answer
    x = 12,586.33

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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.