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Finding the Fourth Proportional to 12,177.38, 16,805.28 and 6,872.19

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Solution

The fourth proportional to 12,177.38, 16,805.28 and 6,872.19 is: 9,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.38 : 16,805.28 = 6,872.19 : x
  2. Step 2: Convert to fraction form
    12,177.38/16,805.28 = 6,872.19/x
  3. Step 3: Cross multiply
    12,177.38x = 16,805.28 × 6,872.19
  4. Step 4: Simplify right side
    12,177.38x = 115,489,077.16
  5. Step 5: Solve for x
    x = 115,489,077.16/12,177.38
  6. Step 6: Final answer
    x = 9,483.91

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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.