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Finding the Fourth Proportional to 8,113.85, 12,172.02 and 3,433.88

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Solution

The fourth proportional to 8,113.85, 12,172.02 and 3,433.88 is: 5,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.85 : 12,172.02 = 3,433.88 : x
  2. Step 2: Convert to fraction form
    8,113.85/12,172.02 = 3,433.88/x
  3. Step 3: Cross multiply
    8,113.85x = 12,172.02 × 3,433.88
  4. Step 4: Simplify right side
    8,113.85x = 41,797,256.04
  5. Step 5: Solve for x
    x = 41,797,256.04/8,113.85
  6. Step 6: Final answer
    x = 5,151.35

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