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Finding the Fourth Proportional to 6,789.74, 10,138.62 and 5,387.32

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Solution

The fourth proportional to 6,789.74, 10,138.62 and 5,387.32 is: 8,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.74 : 10,138.62 = 5,387.32 : x
  2. Step 2: Convert to fraction form
    6,789.74/10,138.62 = 5,387.32/x
  3. Step 3: Cross multiply
    6,789.74x = 10,138.62 × 5,387.32
  4. Step 4: Simplify right side
    6,789.74x = 54,620,023.17
  5. Step 5: Solve for x
    x = 54,620,023.17/6,789.74
  6. Step 6: Final answer
    x = 8,044.50

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.