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Finding the Fourth Proportional to 12,438.38, 17,167.11 and 7,961.90

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Solution

The fourth proportional to 12,438.38, 17,167.11 and 7,961.90 is: 10,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.38 : 17,167.11 = 7,961.90 : x
  2. Step 2: Convert to fraction form
    12,438.38/17,167.11 = 7,961.90/x
  3. Step 3: Cross multiply
    12,438.38x = 17,167.11 × 7,961.90
  4. Step 4: Simplify right side
    12,438.38x = 136,682,813.11
  5. Step 5: Solve for x
    x = 136,682,813.11/12,438.38
  6. Step 6: Final answer
    x = 10,988.80

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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.