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Finding the Fourth Proportional to 8,380.23, 12,565.99 and 2,831.57

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Solution

The fourth proportional to 8,380.23, 12,565.99 and 2,831.57 is: 4,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.23 : 12,565.99 = 2,831.57 : x
  2. Step 2: Convert to fraction form
    8,380.23/12,565.99 = 2,831.57/x
  3. Step 3: Cross multiply
    8,380.23x = 12,565.99 × 2,831.57
  4. Step 4: Simplify right side
    8,380.23x = 35,581,480.30
  5. Step 5: Solve for x
    x = 35,581,480.30/8,380.23
  6. Step 6: Final answer
    x = 4,245.88

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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.