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Finding the Fourth Proportional to 8,399.38, 11,591.44 and 4,622.66

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Solution

The fourth proportional to 8,399.38, 11,591.44 and 4,622.66 is: 6,379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.38 : 11,591.44 = 4,622.66 : x
  2. Step 2: Convert to fraction form
    8,399.38/11,591.44 = 4,622.66/x
  3. Step 3: Cross multiply
    8,399.38x = 11,591.44 × 4,622.66
  4. Step 4: Simplify right side
    8,399.38x = 53,583,286.03
  5. Step 5: Solve for x
    x = 53,583,286.03/8,399.38
  6. Step 6: Final answer
    x = 6,379.43

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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.