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Finding the Fourth Proportional to 10,914.38, 15,061.42 and 6,672.56

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Solution

The fourth proportional to 10,914.38, 15,061.42 and 6,672.56 is: 9,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.38 : 15,061.42 = 6,672.56 : x
  2. Step 2: Convert to fraction form
    10,914.38/15,061.42 = 6,672.56/x
  3. Step 3: Cross multiply
    10,914.38x = 15,061.42 × 6,672.56
  4. Step 4: Simplify right side
    10,914.38x = 100,498,228.64
  5. Step 5: Solve for x
    x = 100,498,228.64/10,914.38
  6. Step 6: Final answer
    x = 9,207.87

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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.