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Finding the Fourth Proportional to 8,007.28, 11,049.80 and 4,470.42

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Solution

The fourth proportional to 8,007.28, 11,049.80 and 4,470.42 is: 6,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.28 : 11,049.80 = 4,470.42 : x
  2. Step 2: Convert to fraction form
    8,007.28/11,049.80 = 4,470.42/x
  3. Step 3: Cross multiply
    8,007.28x = 11,049.80 × 4,470.42
  4. Step 4: Simplify right side
    8,007.28x = 49,397,246.92
  5. Step 5: Solve for x
    x = 49,397,246.92/8,007.28
  6. Step 6: Final answer
    x = 6,169.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.