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Finding the Fourth Proportional to 7,691.56, 11,538.25 and 2,760.78

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Solution

The fourth proportional to 7,691.56, 11,538.25 and 2,760.78 is: 4,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.56 : 11,538.25 = 2,760.78 : x
  2. Step 2: Convert to fraction form
    7,691.56/11,538.25 = 2,760.78/x
  3. Step 3: Cross multiply
    7,691.56x = 11,538.25 × 2,760.78
  4. Step 4: Simplify right side
    7,691.56x = 31,854,606.20
  5. Step 5: Solve for x
    x = 31,854,606.20/7,691.56
  6. Step 6: Final answer
    x = 4,141.50

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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.