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Finding the Fourth Proportional to 11,207.24, 16,805.96 and 3,414.24

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Solution

The fourth proportional to 11,207.24, 16,805.96 and 3,414.24 is: 5,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,207.24 : 16,805.96 = 3,414.24 : x
  2. Step 2: Convert to fraction form
    11,207.24/16,805.96 = 3,414.24/x
  3. Step 3: Cross multiply
    11,207.24x = 16,805.96 × 3,414.24
  4. Step 4: Simplify right side
    11,207.24x = 57,379,580.87
  5. Step 5: Solve for x
    x = 57,379,580.87/11,207.24
  6. Step 6: Final answer
    x = 5,119.87

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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.