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Finding the Fourth Proportional to 8,286.05, 11,442.04 and 5,639.78

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Solution

The fourth proportional to 8,286.05, 11,442.04 and 5,639.78 is: 7,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.05 : 11,442.04 = 5,639.78 : x
  2. Step 2: Convert to fraction form
    8,286.05/11,442.04 = 5,639.78/x
  3. Step 3: Cross multiply
    8,286.05x = 11,442.04 × 5,639.78
  4. Step 4: Simplify right side
    8,286.05x = 64,530,517.04
  5. Step 5: Solve for x
    x = 64,530,517.04/8,286.05
  6. Step 6: Final answer
    x = 7,787.86

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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.