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Finding the Fourth Proportional to 8,600.40, 12,892.10 and 4,149.86

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Solution

The fourth proportional to 8,600.40, 12,892.10 and 4,149.86 is: 6,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,600.40 : 12,892.10 = 4,149.86 : x
  2. Step 2: Convert to fraction form
    8,600.40/12,892.10 = 4,149.86/x
  3. Step 3: Cross multiply
    8,600.40x = 12,892.10 × 4,149.86
  4. Step 4: Simplify right side
    8,600.40x = 53,500,324.90
  5. Step 5: Solve for x
    x = 53,500,324.90/8,600.40
  6. Step 6: Final answer
    x = 6,220.68

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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.