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Finding the Fourth Proportional to 12,062.38, 16,646.09 and 6,757.31

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Solution

The fourth proportional to 12,062.38, 16,646.09 and 6,757.31 is: 9,325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,062.38 : 16,646.09 = 6,757.31 : x
  2. Step 2: Convert to fraction form
    12,062.38/16,646.09 = 6,757.31/x
  3. Step 3: Cross multiply
    12,062.38x = 16,646.09 × 6,757.31
  4. Step 4: Simplify right side
    12,062.38x = 112,482,790.42
  5. Step 5: Solve for x
    x = 112,482,790.42/12,062.38
  6. Step 6: Final answer
    x = 9,325.09

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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.