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Finding the Fourth Proportional to 10,862.96, 16,294.44 and 2,654.96

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Solution

The fourth proportional to 10,862.96, 16,294.44 and 2,654.96 is: 3,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.96 : 16,294.44 = 2,654.96 : x
  2. Step 2: Convert to fraction form
    10,862.96/16,294.44 = 2,654.96/x
  3. Step 3: Cross multiply
    10,862.96x = 16,294.44 × 2,654.96
  4. Step 4: Simplify right side
    10,862.96x = 43,261,086.42
  5. Step 5: Solve for x
    x = 43,261,086.42/10,862.96
  6. Step 6: Final answer
    x = 3,982.44

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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.