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Finding the Fourth Proportional to 11,538.38, 15,934.66 and 9,941.78

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Solution

The fourth proportional to 11,538.38, 15,934.66 and 9,941.78 is: 13,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.38 : 15,934.66 = 9,941.78 : x
  2. Step 2: Convert to fraction form
    11,538.38/15,934.66 = 9,941.78/x
  3. Step 3: Cross multiply
    11,538.38x = 15,934.66 × 9,941.78
  4. Step 4: Simplify right side
    11,538.38x = 158,418,884.09
  5. Step 5: Solve for x
    x = 158,418,884.09/11,538.38
  6. Step 6: Final answer
    x = 13,729.73

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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.