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Finding the Fourth Proportional to 11,375.28, 15,691.89 and 7,832.34

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Solution

The fourth proportional to 11,375.28, 15,691.89 and 7,832.34 is: 10,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.28 : 15,691.89 = 7,832.34 : x
  2. Step 2: Convert to fraction form
    11,375.28/15,691.89 = 7,832.34/x
  3. Step 3: Cross multiply
    11,375.28x = 15,691.89 × 7,832.34
  4. Step 4: Simplify right side
    11,375.28x = 122,904,217.72
  5. Step 5: Solve for x
    x = 122,904,217.72/11,375.28
  6. Step 6: Final answer
    x = 10,804.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.