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Finding the Fourth Proportional to 8,226.56, 11,354.49 and 5,677.90

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Solution

The fourth proportional to 8,226.56, 11,354.49 and 5,677.90 is: 7,836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.56 : 11,354.49 = 5,677.90 : x
  2. Step 2: Convert to fraction form
    8,226.56/11,354.49 = 5,677.90/x
  3. Step 3: Cross multiply
    8,226.56x = 11,354.49 × 5,677.90
  4. Step 4: Simplify right side
    8,226.56x = 64,469,630.38
  5. Step 5: Solve for x
    x = 64,469,630.38/8,226.56
  6. Step 6: Final answer
    x = 7,836.76

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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.