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Finding the Fourth Proportional to 12,511.38, 17,266.25 and 6,922.38

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Solution

The fourth proportional to 12,511.38, 17,266.25 and 6,922.38 is: 9,553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511.38 : 17,266.25 = 6,922.38 : x
  2. Step 2: Convert to fraction form
    12,511.38/17,266.25 = 6,922.38/x
  3. Step 3: Cross multiply
    12,511.38x = 17,266.25 × 6,922.38
  4. Step 4: Simplify right side
    12,511.38x = 119,523,543.68
  5. Step 5: Solve for x
    x = 119,523,543.68/12,511.38
  6. Step 6: Final answer
    x = 9,553.19

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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.