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Finding the Fourth Proportional to 8,122.38, 12,189.98 and 4,173.48

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Solution

The fourth proportional to 8,122.38, 12,189.98 and 4,173.48 is: 6,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.38 : 12,189.98 = 4,173.48 : x
  2. Step 2: Convert to fraction form
    8,122.38/12,189.98 = 4,173.48/x
  3. Step 3: Cross multiply
    8,122.38x = 12,189.98 × 4,173.48
  4. Step 4: Simplify right side
    8,122.38x = 50,874,637.73
  5. Step 5: Solve for x
    x = 50,874,637.73/8,122.38
  6. Step 6: Final answer
    x = 6,263.51

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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.