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Finding the Fourth Proportional to 8,174.28, 11,286.84 and 6,282.87

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Solution

The fourth proportional to 8,174.28, 11,286.84 and 6,282.87 is: 8,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.28 : 11,286.84 = 6,282.87 : x
  2. Step 2: Convert to fraction form
    8,174.28/11,286.84 = 6,282.87/x
  3. Step 3: Cross multiply
    8,174.28x = 11,286.84 × 6,282.87
  4. Step 4: Simplify right side
    8,174.28x = 70,913,748.43
  5. Step 5: Solve for x
    x = 70,913,748.43/8,174.28
  6. Step 6: Final answer
    x = 8,675.23

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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.