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Finding the Fourth Proportional to 11,874.20, 17,811.09 and 4,082.81

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Solution

The fourth proportional to 11,874.20, 17,811.09 and 4,082.81 is: 6,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.20 : 17,811.09 = 4,082.81 : x
  2. Step 2: Convert to fraction form
    11,874.20/17,811.09 = 4,082.81/x
  3. Step 3: Cross multiply
    11,874.20x = 17,811.09 × 4,082.81
  4. Step 4: Simplify right side
    11,874.20x = 72,719,207.31
  5. Step 5: Solve for x
    x = 72,719,207.31/11,874.20
  6. Step 6: Final answer
    x = 6,124.14

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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.