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Finding the Fourth Proportional to 7,969.90, 11,954.82 and 2,423.22

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Solution

The fourth proportional to 7,969.90, 11,954.82 and 2,423.22 is: 3,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.90 : 11,954.82 = 2,423.22 : x
  2. Step 2: Convert to fraction form
    7,969.90/11,954.82 = 2,423.22/x
  3. Step 3: Cross multiply
    7,969.90x = 11,954.82 × 2,423.22
  4. Step 4: Simplify right side
    7,969.90x = 28,969,105.20
  5. Step 5: Solve for x
    x = 28,969,105.20/7,969.90
  6. Step 6: Final answer
    x = 3,634.82

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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.