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Finding the Fourth Proportional to 8,113.66, 12,172.11 and 3,433.66

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Solution

The fourth proportional to 8,113.66, 12,172.11 and 3,433.66 is: 5,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.66 : 12,172.11 = 3,433.66 : x
  2. Step 2: Convert to fraction form
    8,113.66/12,172.11 = 3,433.66/x
  3. Step 3: Cross multiply
    8,113.66x = 12,172.11 × 3,433.66
  4. Step 4: Simplify right side
    8,113.66x = 41,794,887.22
  5. Step 5: Solve for x
    x = 41,794,887.22/8,113.66
  6. Step 6: Final answer
    x = 5,151.18

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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.