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Finding the Fourth Proportional to 11,531.24, 15,911.00 and 6,494.38

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Solution

The fourth proportional to 11,531.24, 15,911.00 and 6,494.38 is: 8,961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.24 : 15,911.00 = 6,494.38 : x
  2. Step 2: Convert to fraction form
    11,531.24/15,911.00 = 6,494.38/x
  3. Step 3: Cross multiply
    11,531.24x = 15,911.00 × 6,494.38
  4. Step 4: Simplify right side
    11,531.24x = 103,332,121.78
  5. Step 5: Solve for x
    x = 103,332,121.78/11,531.24
  6. Step 6: Final answer
    x = 8,961.06

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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.