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Finding the Fourth Proportional to 12,158.38, 16,781.03 and 7,125.22

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Solution

The fourth proportional to 12,158.38, 16,781.03 and 7,125.22 is: 9,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.38 : 16,781.03 = 7,125.22 : x
  2. Step 2: Convert to fraction form
    12,158.38/16,781.03 = 7,125.22/x
  3. Step 3: Cross multiply
    12,158.38x = 16,781.03 × 7,125.22
  4. Step 4: Simplify right side
    12,158.38x = 119,568,530.58
  5. Step 5: Solve for x
    x = 119,568,530.58/12,158.38
  6. Step 6: Final answer
    x = 9,834.25

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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.