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Finding the Fourth Proportional to 8,200.39, 12,305.14 and 5,082.09

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Solution

The fourth proportional to 8,200.39, 12,305.14 and 5,082.09 is: 7,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.39 : 12,305.14 = 5,082.09 : x
  2. Step 2: Convert to fraction form
    8,200.39/12,305.14 = 5,082.09/x
  3. Step 3: Cross multiply
    8,200.39x = 12,305.14 × 5,082.09
  4. Step 4: Simplify right side
    8,200.39x = 62,535,828.94
  5. Step 5: Solve for x
    x = 62,535,828.94/8,200.39
  6. Step 6: Final answer
    x = 7,625.96

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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.