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Finding the Fourth Proportional to 8,517.15, 12,765.70 and 3,831.65

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Solution

The fourth proportional to 8,517.15, 12,765.70 and 3,831.65 is: 5,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.15 : 12,765.70 = 3,831.65 : x
  2. Step 2: Convert to fraction form
    8,517.15/12,765.70 = 3,831.65/x
  3. Step 3: Cross multiply
    8,517.15x = 12,765.70 × 3,831.65
  4. Step 4: Simplify right side
    8,517.15x = 48,913,755.04
  5. Step 5: Solve for x
    x = 48,913,755.04/8,517.15
  6. Step 6: Final answer
    x = 5,742.97

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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.