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Finding the Fourth Proportional to 8,078.43, 11,148.17 and 4,493.42

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Solution

The fourth proportional to 8,078.43, 11,148.17 and 4,493.42 is: 6,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.43 : 11,148.17 = 4,493.42 : x
  2. Step 2: Convert to fraction form
    8,078.43/11,148.17 = 4,493.42/x
  3. Step 3: Cross multiply
    8,078.43x = 11,148.17 × 4,493.42
  4. Step 4: Simplify right side
    8,078.43x = 50,093,410.04
  5. Step 5: Solve for x
    x = 50,093,410.04/8,078.43
  6. Step 6: Final answer
    x = 6,200.88

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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.