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Finding the Fourth Proportional to 8,107.82, 11,181.78 and 5,274.16

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Solution

The fourth proportional to 8,107.82, 11,181.78 and 5,274.16 is: 7,273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.82 : 11,181.78 = 5,274.16 : x
  2. Step 2: Convert to fraction form
    8,107.82/11,181.78 = 5,274.16/x
  3. Step 3: Cross multiply
    8,107.82x = 11,181.78 × 5,274.16
  4. Step 4: Simplify right side
    8,107.82x = 58,974,496.80
  5. Step 5: Solve for x
    x = 58,974,496.80/8,107.82
  6. Step 6: Final answer
    x = 7,273.78

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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.