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Finding the Fourth Proportional to 11,082.14, 16,617 and 3,684.62

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Solution

The fourth proportional to 11,082.14, 16,617 and 3,684.62 is: 5,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.14 : 16,617 = 3,684.62 : x
  2. Step 2: Convert to fraction form
    11,082.14/16,617 = 3,684.62/x
  3. Step 3: Cross multiply
    11,082.14x = 16,617 × 3,684.62
  4. Step 4: Simplify right side
    11,082.14x = 61,227,330.54
  5. Step 5: Solve for x
    x = 61,227,330.54/11,082.14
  6. Step 6: Final answer
    x = 5,524.87

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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.