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Finding the Fourth Proportional to 7,691.97, 11,538.92 and 3,011.37

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Solution

The fourth proportional to 7,691.97, 11,538.92 and 3,011.37 is: 4,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.97 : 11,538.92 = 3,011.37 : x
  2. Step 2: Convert to fraction form
    7,691.97/11,538.92 = 3,011.37/x
  3. Step 3: Cross multiply
    7,691.97x = 11,538.92 × 3,011.37
  4. Step 4: Simplify right side
    7,691.97x = 34,747,957.52
  5. Step 5: Solve for x
    x = 34,747,957.52/7,691.97
  6. Step 6: Final answer
    x = 4,517.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.