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Finding the Fourth Proportional to 8,864.78, 12,220.32 and 5,677.70

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Solution

The fourth proportional to 8,864.78, 12,220.32 and 5,677.70 is: 7,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.78 : 12,220.32 = 5,677.70 : x
  2. Step 2: Convert to fraction form
    8,864.78/12,220.32 = 5,677.70/x
  3. Step 3: Cross multiply
    8,864.78x = 12,220.32 × 5,677.70
  4. Step 4: Simplify right side
    8,864.78x = 69,383,310.86
  5. Step 5: Solve for x
    x = 69,383,310.86/8,864.78
  6. Step 6: Final answer
    x = 7,826.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.