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Finding the Fourth Proportional to 8,377.20, 12,562.16 and 4,214.61

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Solution

The fourth proportional to 8,377.20, 12,562.16 and 4,214.61 is: 6,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.20 : 12,562.16 = 4,214.61 : x
  2. Step 2: Convert to fraction form
    8,377.20/12,562.16 = 4,214.61/x
  3. Step 3: Cross multiply
    8,377.20x = 12,562.16 × 4,214.61
  4. Step 4: Simplify right side
    8,377.20x = 52,944,584.08
  5. Step 5: Solve for x
    x = 52,944,584.08/8,377.20
  6. Step 6: Final answer
    x = 6,320.08

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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.