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Finding the Fourth Proportional to 11,233.89, 15,502.53 and 6,198.57

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Solution

The fourth proportional to 11,233.89, 15,502.53 and 6,198.57 is: 8,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,233.89 : 15,502.53 = 6,198.57 : x
  2. Step 2: Convert to fraction form
    11,233.89/15,502.53 = 6,198.57/x
  3. Step 3: Cross multiply
    11,233.89x = 15,502.53 × 6,198.57
  4. Step 4: Simplify right side
    11,233.89x = 96,093,517.38
  5. Step 5: Solve for x
    x = 96,093,517.38/11,233.89
  6. Step 6: Final answer
    x = 8,553.90

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Why These Related Problems?

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