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Finding the Fourth Proportional to 8,191.52, 11,301.08 and 5,042.24

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Solution

The fourth proportional to 8,191.52, 11,301.08 and 5,042.24 is: 6,956.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.52 : 11,301.08 = 5,042.24 : x
  2. Step 2: Convert to fraction form
    8,191.52/11,301.08 = 5,042.24/x
  3. Step 3: Cross multiply
    8,191.52x = 11,301.08 × 5,042.24
  4. Step 4: Simplify right side
    8,191.52x = 56,982,757.62
  5. Step 5: Solve for x
    x = 56,982,757.62/8,191.52
  6. Step 6: Final answer
    x = 6,956.31

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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.