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Finding the Fourth Proportional to 11,843.38, 16,343.86 and 6,538.56

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Solution

The fourth proportional to 11,843.38, 16,343.86 and 6,538.56 is: 9,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.38 : 16,343.86 = 6,538.56 : x
  2. Step 2: Convert to fraction form
    11,843.38/16,343.86 = 6,538.56/x
  3. Step 3: Cross multiply
    11,843.38x = 16,343.86 × 6,538.56
  4. Step 4: Simplify right side
    11,843.38x = 106,865,309.24
  5. Step 5: Solve for x
    x = 106,865,309.24/11,843.38
  6. Step 6: Final answer
    x = 9,023.21

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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.