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Finding the Fourth Proportional to 8,071.38, 11,135.40 and 5,951.94

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Solution

The fourth proportional to 8,071.38, 11,135.40 and 5,951.94 is: 8,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.38 : 11,135.40 = 5,951.94 : x
  2. Step 2: Convert to fraction form
    8,071.38/11,135.40 = 5,951.94/x
  3. Step 3: Cross multiply
    8,071.38x = 11,135.40 × 5,951.94
  4. Step 4: Simplify right side
    8,071.38x = 66,277,232.68
  5. Step 5: Solve for x
    x = 66,277,232.68/8,071.38
  6. Step 6: Final answer
    x = 8,211.39

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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.