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Finding the Fourth Proportional to 8,374.87, 12,562.57 and 4,212.61

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Solution

The fourth proportional to 8,374.87, 12,562.57 and 4,212.61 is: 6,319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.87 : 12,562.57 = 4,212.61 : x
  2. Step 2: Convert to fraction form
    8,374.87/12,562.57 = 4,212.61/x
  3. Step 3: Cross multiply
    8,374.87x = 12,562.57 × 4,212.61
  4. Step 4: Simplify right side
    8,374.87x = 52,921,145.19
  5. Step 5: Solve for x
    x = 52,921,145.19/8,374.87
  6. Step 6: Final answer
    x = 6,319.04

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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.