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Finding the Fourth Proportional to 7,940.36, 11,912.07 and 3,782.33

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Solution

The fourth proportional to 7,940.36, 11,912.07 and 3,782.33 is: 5,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.36 : 11,912.07 = 3,782.33 : x
  2. Step 2: Convert to fraction form
    7,940.36/11,912.07 = 3,782.33/x
  3. Step 3: Cross multiply
    7,940.36x = 11,912.07 × 3,782.33
  4. Step 4: Simplify right side
    7,940.36x = 45,055,372.98
  5. Step 5: Solve for x
    x = 45,055,372.98/7,940.36
  6. Step 6: Final answer
    x = 5,674.22

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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.