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Finding the Fourth Proportional to 11,494.24, 17,229.10 and 6,553.24

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Solution

The fourth proportional to 11,494.24, 17,229.10 and 6,553.24 is: 9,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.24 : 17,229.10 = 6,553.24 : x
  2. Step 2: Convert to fraction form
    11,494.24/17,229.10 = 6,553.24/x
  3. Step 3: Cross multiply
    11,494.24x = 17,229.10 × 6,553.24
  4. Step 4: Simplify right side
    11,494.24x = 112,906,308.37
  5. Step 5: Solve for x
    x = 112,906,308.37/11,494.24
  6. Step 6: Final answer
    x = 9,822.86

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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.