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Finding the Fourth Proportional to 8,137.91, 11,231.14 and 4,951.43

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Solution

The fourth proportional to 8,137.91, 11,231.14 and 4,951.43 is: 6,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.91 : 11,231.14 = 4,951.43 : x
  2. Step 2: Convert to fraction form
    8,137.91/11,231.14 = 4,951.43/x
  3. Step 3: Cross multiply
    8,137.91x = 11,231.14 × 4,951.43
  4. Step 4: Simplify right side
    8,137.91x = 55,610,203.53
  5. Step 5: Solve for x
    x = 55,610,203.53/8,137.91
  6. Step 6: Final answer
    x = 6,833.47

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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.