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Finding the Fourth Proportional to 8,082.80, 12,109.80 and 6,930.80

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Solution

The fourth proportional to 8,082.80, 12,109.80 and 6,930.80 is: 10,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.80 : 12,109.80 = 6,930.80 : x
  2. Step 2: Convert to fraction form
    8,082.80/12,109.80 = 6,930.80/x
  3. Step 3: Cross multiply
    8,082.80x = 12,109.80 × 6,930.80
  4. Step 4: Simplify right side
    8,082.80x = 83,930,601.84
  5. Step 5: Solve for x
    x = 83,930,601.84/8,082.80
  6. Step 6: Final answer
    x = 10,383.85

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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.