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Finding the Fourth Proportional to 8,082.05, 12,114.09 and 3,400.68

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Solution

The fourth proportional to 8,082.05, 12,114.09 and 3,400.68 is: 5,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.05 : 12,114.09 = 3,400.68 : x
  2. Step 2: Convert to fraction form
    8,082.05/12,114.09 = 3,400.68/x
  3. Step 3: Cross multiply
    8,082.05x = 12,114.09 × 3,400.68
  4. Step 4: Simplify right side
    8,082.05x = 41,196,143.58
  5. Step 5: Solve for x
    x = 41,196,143.58/8,082.05
  6. Step 6: Final answer
    x = 5,097.24

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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.