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Finding the Fourth Proportional to 11,691.44, 17,548.80 and 5,122.16

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Solution

The fourth proportional to 11,691.44, 17,548.80 and 5,122.16 is: 7,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.44 : 17,548.80 = 5,122.16 : x
  2. Step 2: Convert to fraction form
    11,691.44/17,548.80 = 5,122.16/x
  3. Step 3: Cross multiply
    11,691.44x = 17,548.80 × 5,122.16
  4. Step 4: Simplify right side
    11,691.44x = 89,887,761.41
  5. Step 5: Solve for x
    x = 89,887,761.41/11,691.44
  6. Step 6: Final answer
    x = 7,688.34

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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.