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Finding the Fourth Proportional to 10,081.38, 13,912.02 and 5,774.34

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Solution

The fourth proportional to 10,081.38, 13,912.02 and 5,774.34 is: 7,968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.38 : 13,912.02 = 5,774.34 : x
  2. Step 2: Convert to fraction form
    10,081.38/13,912.02 = 5,774.34/x
  3. Step 3: Cross multiply
    10,081.38x = 13,912.02 × 5,774.34
  4. Step 4: Simplify right side
    10,081.38x = 80,332,733.57
  5. Step 5: Solve for x
    x = 80,332,733.57/10,081.38
  6. Step 6: Final answer
    x = 7,968.43

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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.