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Finding the Fourth Proportional to 8,154.38, 11,252.83 and 4,617.26

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Solution

The fourth proportional to 8,154.38, 11,252.83 and 4,617.26 is: 6,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.38 : 11,252.83 = 4,617.26 : x
  2. Step 2: Convert to fraction form
    8,154.38/11,252.83 = 4,617.26/x
  3. Step 3: Cross multiply
    8,154.38x = 11,252.83 × 4,617.26
  4. Step 4: Simplify right side
    8,154.38x = 51,957,241.85
  5. Step 5: Solve for x
    x = 51,957,241.85/8,154.38
  6. Step 6: Final answer
    x = 6,371.70

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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.