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Finding the Fourth Proportional to 11,213.02, 15,471.97 and 6,496.39

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Solution

The fourth proportional to 11,213.02, 15,471.97 and 6,496.39 is: 8,963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.02 : 15,471.97 = 6,496.39 : x
  2. Step 2: Convert to fraction form
    11,213.02/15,471.97 = 6,496.39/x
  3. Step 3: Cross multiply
    11,213.02x = 15,471.97 × 6,496.39
  4. Step 4: Simplify right side
    11,213.02x = 100,511,951.19
  5. Step 5: Solve for x
    x = 100,511,951.19/11,213.02
  6. Step 6: Final answer
    x = 8,963.86

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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.