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Finding the Fourth Proportional to 7,691.44, 11,534.28 and 6,067.12

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Solution

The fourth proportional to 7,691.44, 11,534.28 and 6,067.12 is: 9,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.44 : 11,534.28 = 6,067.12 : x
  2. Step 2: Convert to fraction form
    7,691.44/11,534.28 = 6,067.12/x
  3. Step 3: Cross multiply
    7,691.44x = 11,534.28 × 6,067.12
  4. Step 4: Simplify right side
    7,691.44x = 69,979,860.87
  5. Step 5: Solve for x
    x = 69,979,860.87/7,691.44
  6. Step 6: Final answer
    x = 9,098.41

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