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Finding the Fourth Proportional to 11,342.56, 17,013.84 and 6,711.52

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Solution

The fourth proportional to 11,342.56, 17,013.84 and 6,711.52 is: 10,067.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.56 : 17,013.84 = 6,711.52 : x
  2. Step 2: Convert to fraction form
    11,342.56/17,013.84 = 6,711.52/x
  3. Step 3: Cross multiply
    11,342.56x = 17,013.84 × 6,711.52
  4. Step 4: Simplify right side
    11,342.56x = 114,188,727.44
  5. Step 5: Solve for x
    x = 114,188,727.44/11,342.56
  6. Step 6: Final answer
    x = 10,067.28

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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.