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Finding the Fourth Proportional to 11,843.50, 16,343.33 and 6,538

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Solution

The fourth proportional to 11,843.50, 16,343.33 and 6,538 is: 9,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.50 : 16,343.33 = 6,538 : x
  2. Step 2: Convert to fraction form
    11,843.50/16,343.33 = 6,538/x
  3. Step 3: Cross multiply
    11,843.50x = 16,343.33 × 6,538
  4. Step 4: Simplify right side
    11,843.50x = 106,852,691.54
  5. Step 5: Solve for x
    x = 106,852,691.54/11,843.50
  6. Step 6: Final answer
    x = 9,022.05

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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.