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Finding the Fourth Proportional to 8,354.78, 11,517.38 and 6,361.88

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Solution

The fourth proportional to 8,354.78, 11,517.38 and 6,361.88 is: 8,770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.78 : 11,517.38 = 6,361.88 : x
  2. Step 2: Convert to fraction form
    8,354.78/11,517.38 = 6,361.88/x
  3. Step 3: Cross multiply
    8,354.78x = 11,517.38 × 6,361.88
  4. Step 4: Simplify right side
    8,354.78x = 73,272,100.08
  5. Step 5: Solve for x
    x = 73,272,100.08/8,354.78
  6. Step 6: Final answer
    x = 8,770.09

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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.