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Finding the Fourth Proportional to 11,761.23, 16,229.90 and 6,981.38

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Solution

The fourth proportional to 11,761.23, 16,229.90 and 6,981.38 is: 9,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.23 : 16,229.90 = 6,981.38 : x
  2. Step 2: Convert to fraction form
    11,761.23/16,229.90 = 6,981.38/x
  3. Step 3: Cross multiply
    11,761.23x = 16,229.90 × 6,981.38
  4. Step 4: Simplify right side
    11,761.23x = 113,307,099.26
  5. Step 5: Solve for x
    x = 113,307,099.26/11,761.23
  6. Step 6: Final answer
    x = 9,633.95

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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.