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Finding the Fourth Proportional to 8,287.92, 12,421.62 and 3,842.91

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Solution

The fourth proportional to 8,287.92, 12,421.62 and 3,842.91 is: 5,759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.92 : 12,421.62 = 3,842.91 : x
  2. Step 2: Convert to fraction form
    8,287.92/12,421.62 = 3,842.91/x
  3. Step 3: Cross multiply
    8,287.92x = 12,421.62 × 3,842.91
  4. Step 4: Simplify right side
    8,287.92x = 47,735,167.71
  5. Step 5: Solve for x
    x = 47,735,167.71/8,287.92
  6. Step 6: Final answer
    x = 5,759.61

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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.