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Finding the Fourth Proportional to 8,286.62, 12,431.96 and 6,808.33

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Solution

The fourth proportional to 8,286.62, 12,431.96 and 6,808.33 is: 10,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.62 : 12,431.96 = 6,808.33 : x
  2. Step 2: Convert to fraction form
    8,286.62/12,431.96 = 6,808.33/x
  3. Step 3: Cross multiply
    8,286.62x = 12,431.96 × 6,808.33
  4. Step 4: Simplify right side
    8,286.62x = 84,640,852.19
  5. Step 5: Solve for x
    x = 84,640,852.19/8,286.62
  6. Step 6: Final answer
    x = 10,214.16

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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.