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Finding the Fourth Proportional to 8,113.86, 12,162.24 and 3,727.68

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Solution

The fourth proportional to 8,113.86, 12,162.24 and 3,727.68 is: 5,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.86 : 12,162.24 = 3,727.68 : x
  2. Step 2: Convert to fraction form
    8,113.86/12,162.24 = 3,727.68/x
  3. Step 3: Cross multiply
    8,113.86x = 12,162.24 × 3,727.68
  4. Step 4: Simplify right side
    8,113.86x = 45,336,938.80
  5. Step 5: Solve for x
    x = 45,336,938.80/8,113.86
  6. Step 6: Final answer
    x = 5,587.59

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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.