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Finding the Fourth Proportional to 10,654.38, 15,982.38 and 2,863.08

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Solution

The fourth proportional to 10,654.38, 15,982.38 and 2,863.08 is: 4,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.38 : 15,982.38 = 2,863.08 : x
  2. Step 2: Convert to fraction form
    10,654.38/15,982.38 = 2,863.08/x
  3. Step 3: Cross multiply
    10,654.38x = 15,982.38 × 2,863.08
  4. Step 4: Simplify right side
    10,654.38x = 45,758,832.53
  5. Step 5: Solve for x
    x = 45,758,832.53/10,654.38
  6. Step 6: Final answer
    x = 4,294.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.