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Finding the Fourth Proportional to 12,082.80, 18,114.60 and 6,610.80

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Solution

The fourth proportional to 12,082.80, 18,114.60 and 6,610.80 is: 9,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.80 : 18,114.60 = 6,610.80 : x
  2. Step 2: Convert to fraction form
    12,082.80/18,114.60 = 6,610.80/x
  3. Step 3: Cross multiply
    12,082.80x = 18,114.60 × 6,610.80
  4. Step 4: Simplify right side
    12,082.80x = 119,751,997.68
  5. Step 5: Solve for x
    x = 119,751,997.68/12,082.80
  6. Step 6: Final answer
    x = 9,910.95

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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.