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Finding the Fourth Proportional to 8,071.92, 11,131.49 and 5,238.25

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Solution

The fourth proportional to 8,071.92, 11,131.49 and 5,238.25 is: 7,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.92 : 11,131.49 = 5,238.25 : x
  2. Step 2: Convert to fraction form
    8,071.92/11,131.49 = 5,238.25/x
  3. Step 3: Cross multiply
    8,071.92x = 11,131.49 × 5,238.25
  4. Step 4: Simplify right side
    8,071.92x = 58,309,512.76
  5. Step 5: Solve for x
    x = 58,309,512.76/8,071.92
  6. Step 6: Final answer
    x = 7,223.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.