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Finding the Fourth Proportional to 8,337.74, 12,508.77 and 3,143.66

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Solution

The fourth proportional to 8,337.74, 12,508.77 and 3,143.66 is: 4,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.74 : 12,508.77 = 3,143.66 : x
  2. Step 2: Convert to fraction form
    8,337.74/12,508.77 = 3,143.66/x
  3. Step 3: Cross multiply
    8,337.74x = 12,508.77 × 3,143.66
  4. Step 4: Simplify right side
    8,337.74x = 39,323,319.90
  5. Step 5: Solve for x
    x = 39,323,319.90/8,337.74
  6. Step 6: Final answer
    x = 4,716.30

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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.