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Finding the Fourth Proportional to 8,143.25, 11,238.50 and 5,876.47

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Solution

The fourth proportional to 8,143.25, 11,238.50 and 5,876.47 is: 8,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.25 : 11,238.50 = 5,876.47 : x
  2. Step 2: Convert to fraction form
    8,143.25/11,238.50 = 5,876.47/x
  3. Step 3: Cross multiply
    8,143.25x = 11,238.50 × 5,876.47
  4. Step 4: Simplify right side
    8,143.25x = 66,042,640.56
  5. Step 5: Solve for x
    x = 66,042,640.56/8,143.25
  6. Step 6: Final answer
    x = 8,110.11

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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.