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Finding the Fourth Proportional to 10,899.81, 15,013.09 and 8,377.10

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Solution

The fourth proportional to 10,899.81, 15,013.09 and 8,377.10 is: 11,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899.81 : 15,013.09 = 8,377.10 : x
  2. Step 2: Convert to fraction form
    10,899.81/15,013.09 = 8,377.10/x
  3. Step 3: Cross multiply
    10,899.81x = 15,013.09 × 8,377.10
  4. Step 4: Simplify right side
    10,899.81x = 125,766,147.94
  5. Step 5: Solve for x
    x = 125,766,147.94/10,899.81
  6. Step 6: Final answer
    x = 11,538.38

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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.