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Finding the Fourth Proportional to 8,238.62, 12,347.60 and 3,553.31

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Solution

The fourth proportional to 8,238.62, 12,347.60 and 3,553.31 is: 5,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.62 : 12,347.60 = 3,553.31 : x
  2. Step 2: Convert to fraction form
    8,238.62/12,347.60 = 3,553.31/x
  3. Step 3: Cross multiply
    8,238.62x = 12,347.60 × 3,553.31
  4. Step 4: Simplify right side
    8,238.62x = 43,874,771.05
  5. Step 5: Solve for x
    x = 43,874,771.05/8,238.62
  6. Step 6: Final answer
    x = 5,325.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.