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Finding the Fourth Proportional to 7,969.89, 11,954.82 and 2,775.75

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Solution

The fourth proportional to 7,969.89, 11,954.82 and 2,775.75 is: 4,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.89 : 11,954.82 = 2,775.75 : x
  2. Step 2: Convert to fraction form
    7,969.89/11,954.82 = 2,775.75/x
  3. Step 3: Cross multiply
    7,969.89x = 11,954.82 × 2,775.75
  4. Step 4: Simplify right side
    7,969.89x = 33,183,591.62
  5. Step 5: Solve for x
    x = 33,183,591.62/7,969.89
  6. Step 6: Final answer
    x = 4,163.62

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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.