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Finding the Fourth Proportional to 10,874.67, 15,007.11 and 6,159.87

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Solution

The fourth proportional to 10,874.67, 15,007.11 and 6,159.87 is: 8,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.67 : 15,007.11 = 6,159.87 : x
  2. Step 2: Convert to fraction form
    10,874.67/15,007.11 = 6,159.87/x
  3. Step 3: Cross multiply
    10,874.67x = 15,007.11 × 6,159.87
  4. Step 4: Simplify right side
    10,874.67x = 92,441,846.68
  5. Step 5: Solve for x
    x = 92,441,846.68/10,874.67
  6. Step 6: Final answer
    x = 8,500.66

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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.