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Finding the Fourth Proportional to 8,378.20, 12,565.23 and 2,831.42

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Solution

The fourth proportional to 8,378.20, 12,565.23 and 2,831.42 is: 4,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.20 : 12,565.23 = 2,831.42 : x
  2. Step 2: Convert to fraction form
    8,378.20/12,565.23 = 2,831.42/x
  3. Step 3: Cross multiply
    8,378.20x = 12,565.23 × 2,831.42
  4. Step 4: Simplify right side
    8,378.20x = 35,577,464.32
  5. Step 5: Solve for x
    x = 35,577,464.32/8,378.20
  6. Step 6: Final answer
    x = 4,246.43

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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.