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Finding the Fourth Proportional to 8,082.78, 11,144.95 and 5,207.68

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Solution

The fourth proportional to 8,082.78, 11,144.95 and 5,207.68 is: 7,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.78 : 11,144.95 = 5,207.68 : x
  2. Step 2: Convert to fraction form
    8,082.78/11,144.95 = 5,207.68/x
  3. Step 3: Cross multiply
    8,082.78x = 11,144.95 × 5,207.68
  4. Step 4: Simplify right side
    8,082.78x = 58,039,333.22
  5. Step 5: Solve for x
    x = 58,039,333.22/8,082.78
  6. Step 6: Final answer
    x = 7,180.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.