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Finding the Fourth Proportional to 7,949.90, 11,906.39 and 6,965.75

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Solution

The fourth proportional to 7,949.90, 11,906.39 and 6,965.75 is: 10,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.90 : 11,906.39 = 6,965.75 : x
  2. Step 2: Convert to fraction form
    7,949.90/11,906.39 = 6,965.75/x
  3. Step 3: Cross multiply
    7,949.90x = 11,906.39 × 6,965.75
  4. Step 4: Simplify right side
    7,949.90x = 82,936,916.35
  5. Step 5: Solve for x
    x = 82,936,916.35/7,949.90
  6. Step 6: Final answer
    x = 10,432.45

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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.