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Finding the Fourth Proportional to 8,202.96, 12,286.08 and 3,813.84

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Solution

The fourth proportional to 8,202.96, 12,286.08 and 3,813.84 is: 5,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.96 : 12,286.08 = 3,813.84 : x
  2. Step 2: Convert to fraction form
    8,202.96/12,286.08 = 3,813.84/x
  3. Step 3: Cross multiply
    8,202.96x = 12,286.08 × 3,813.84
  4. Step 4: Simplify right side
    8,202.96x = 46,857,143.35
  5. Step 5: Solve for x
    x = 46,857,143.35/8,202.96
  6. Step 6: Final answer
    x = 5,712.22

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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.