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Finding the Fourth Proportional to 10,756.38, 16,138.17 and 5,489.10

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Solution

The fourth proportional to 10,756.38, 16,138.17 and 5,489.10 is: 8,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.38 : 16,138.17 = 5,489.10 : x
  2. Step 2: Convert to fraction form
    10,756.38/16,138.17 = 5,489.10/x
  3. Step 3: Cross multiply
    10,756.38x = 16,138.17 × 5,489.10
  4. Step 4: Simplify right side
    10,756.38x = 88,584,028.95
  5. Step 5: Solve for x
    x = 88,584,028.95/10,756.38
  6. Step 6: Final answer
    x = 8,235.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.