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Finding the Fourth Proportional to 8,202.78, 12,286.71 and 4,295.34

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Solution

The fourth proportional to 8,202.78, 12,286.71 and 4,295.34 is: 6,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.78 : 12,286.71 = 4,295.34 : x
  2. Step 2: Convert to fraction form
    8,202.78/12,286.71 = 4,295.34/x
  3. Step 3: Cross multiply
    8,202.78x = 12,286.71 × 4,295.34
  4. Step 4: Simplify right side
    8,202.78x = 52,775,596.93
  5. Step 5: Solve for x
    x = 52,775,596.93/8,202.78
  6. Step 6: Final answer
    x = 6,433.87

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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.