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Finding the Fourth Proportional to 10,871.38, 15,005.19 and 6,158.44

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Solution

The fourth proportional to 10,871.38, 15,005.19 and 6,158.44 is: 8,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.38 : 15,005.19 = 6,158.44 : x
  2. Step 2: Convert to fraction form
    10,871.38/15,005.19 = 6,158.44/x
  3. Step 3: Cross multiply
    10,871.38x = 15,005.19 × 6,158.44
  4. Step 4: Simplify right side
    10,871.38x = 92,408,562.30
  5. Step 5: Solve for x
    x = 92,408,562.30/10,871.38
  6. Step 6: Final answer
    x = 8,500.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.