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Finding the Fourth Proportional to 8,144.92, 12,217.96 and 3,988.40

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Solution

The fourth proportional to 8,144.92, 12,217.96 and 3,988.40 is: 5,982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.92 : 12,217.96 = 3,988.40 : x
  2. Step 2: Convert to fraction form
    8,144.92/12,217.96 = 3,988.40/x
  3. Step 3: Cross multiply
    8,144.92x = 12,217.96 × 3,988.40
  4. Step 4: Simplify right side
    8,144.92x = 48,730,111.66
  5. Step 5: Solve for x
    x = 48,730,111.66/8,144.92
  6. Step 6: Final answer
    x = 5,982.88

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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.