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Finding the Fourth Proportional to 8,113.50, 12,161.52 and 3,432.42

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Solution

The fourth proportional to 8,113.50, 12,161.52 and 3,432.42 is: 5,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.50 : 12,161.52 = 3,432.42 : x
  2. Step 2: Convert to fraction form
    8,113.50/12,161.52 = 3,432.42/x
  3. Step 3: Cross multiply
    8,113.50x = 12,161.52 × 3,432.42
  4. Step 4: Simplify right side
    8,113.50x = 41,743,444.48
  5. Step 5: Solve for x
    x = 41,743,444.48/8,113.50
  6. Step 6: Final answer
    x = 5,144.94

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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.