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Finding the Fourth Proportional to 8,161.76, 11,257.79 and 6,480.47

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Solution

The fourth proportional to 8,161.76, 11,257.79 and 6,480.47 is: 8,938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.76 : 11,257.79 = 6,480.47 : x
  2. Step 2: Convert to fraction form
    8,161.76/11,257.79 = 6,480.47/x
  3. Step 3: Cross multiply
    8,161.76x = 11,257.79 × 6,480.47
  4. Step 4: Simplify right side
    8,161.76x = 72,955,766.10
  5. Step 5: Solve for x
    x = 72,955,766.10/8,161.76
  6. Step 6: Final answer
    x = 8,938.73

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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.