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Finding the Fourth Proportional to 10,900.38, 15,013.86 and 8,377.65

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Solution

The fourth proportional to 10,900.38, 15,013.86 and 8,377.65 is: 11,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.38 : 15,013.86 = 8,377.65 : x
  2. Step 2: Convert to fraction form
    10,900.38/15,013.86 = 8,377.65/x
  3. Step 3: Cross multiply
    10,900.38x = 15,013.86 × 8,377.65
  4. Step 4: Simplify right side
    10,900.38x = 125,780,864.23
  5. Step 5: Solve for x
    x = 125,780,864.23/10,900.38
  6. Step 6: Final answer
    x = 11,539.13

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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.