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Finding the Fourth Proportional to 8,286.66, 11,432.79 and 5,629.44

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Solution

The fourth proportional to 8,286.66, 11,432.79 and 5,629.44 is: 7,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.66 : 11,432.79 = 5,629.44 : x
  2. Step 2: Convert to fraction form
    8,286.66/11,432.79 = 5,629.44/x
  3. Step 3: Cross multiply
    8,286.66x = 11,432.79 × 5,629.44
  4. Step 4: Simplify right side
    8,286.66x = 64,360,205.34
  5. Step 5: Solve for x
    x = 64,360,205.34/8,286.66
  6. Step 6: Final answer
    x = 7,766.72

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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.