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Finding the Fourth Proportional to 8,113.87, 12,172.05 and 3,433.90

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Solution

The fourth proportional to 8,113.87, 12,172.05 and 3,433.90 is: 5,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.87 : 12,172.05 = 3,433.90 : x
  2. Step 2: Convert to fraction form
    8,113.87/12,172.05 = 3,433.90/x
  3. Step 3: Cross multiply
    8,113.87x = 12,172.05 × 3,433.90
  4. Step 4: Simplify right side
    8,113.87x = 41,797,602.50
  5. Step 5: Solve for x
    x = 41,797,602.50/8,113.87
  6. Step 6: Final answer
    x = 5,151.38

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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.