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Finding the Fourth Proportional to 8,109.19, 12,144.19 and 3,938.90

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Solution

The fourth proportional to 8,109.19, 12,144.19 and 3,938.90 is: 5,898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.19 : 12,144.19 = 3,938.90 : x
  2. Step 2: Convert to fraction form
    8,109.19/12,144.19 = 3,938.90/x
  3. Step 3: Cross multiply
    8,109.19x = 12,144.19 × 3,938.90
  4. Step 4: Simplify right side
    8,109.19x = 47,834,770.50
  5. Step 5: Solve for x
    x = 47,834,770.50/8,109.19
  6. Step 6: Final answer
    x = 5,898.84

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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.