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Finding the Fourth Proportional to 7,936.50, 11,906.37 and 3,319.50

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Solution

The fourth proportional to 7,936.50, 11,906.37 and 3,319.50 is: 4,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936.50 : 11,906.37 = 3,319.50 : x
  2. Step 2: Convert to fraction form
    7,936.50/11,906.37 = 3,319.50/x
  3. Step 3: Cross multiply
    7,936.50x = 11,906.37 × 3,319.50
  4. Step 4: Simplify right side
    7,936.50x = 39,523,195.22
  5. Step 5: Solve for x
    x = 39,523,195.22/7,936.50
  6. Step 6: Final answer
    x = 4,979.93

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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.