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Finding the Fourth Proportional to 11,912.85, 16,440.74 and 6,609.38

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Solution

The fourth proportional to 11,912.85, 16,440.74 and 6,609.38 is: 9,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.85 : 16,440.74 = 6,609.38 : x
  2. Step 2: Convert to fraction form
    11,912.85/16,440.74 = 6,609.38/x
  3. Step 3: Cross multiply
    11,912.85x = 16,440.74 × 6,609.38
  4. Step 4: Simplify right side
    11,912.85x = 108,663,098.14
  5. Step 5: Solve for x
    x = 108,663,098.14/11,912.85
  6. Step 6: Final answer
    x = 9,121.50

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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.