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Finding the Fourth Proportional to 8,202.09, 12,302.08 and 2,654.88

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Solution

The fourth proportional to 8,202.09, 12,302.08 and 2,654.88 is: 3,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.09 : 12,302.08 = 2,654.88 : x
  2. Step 2: Convert to fraction form
    8,202.09/12,302.08 = 2,654.88/x
  3. Step 3: Cross multiply
    8,202.09x = 12,302.08 × 2,654.88
  4. Step 4: Simplify right side
    8,202.09x = 32,660,493.38
  5. Step 5: Solve for x
    x = 32,660,493.38/8,202.09
  6. Step 6: Final answer
    x = 3,981.97

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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.