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Finding the Fourth Proportional to 7,936.50, 11,906.87 and 3,986.69

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Solution

The fourth proportional to 7,936.50, 11,906.87 and 3,986.69 is: 5,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936.50 : 11,906.87 = 3,986.69 : x
  2. Step 2: Convert to fraction form
    7,936.50/11,906.87 = 3,986.69/x
  3. Step 3: Cross multiply
    7,936.50x = 11,906.87 × 3,986.69
  4. Step 4: Simplify right side
    7,936.50x = 47,468,920.09
  5. Step 5: Solve for x
    x = 47,468,920.09/7,936.50
  6. Step 6: Final answer
    x = 5,981.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.