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Finding the Fourth Proportional to 7,674.49, 11,512.37 and 3,233.44

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Solution

The fourth proportional to 7,674.49, 11,512.37 and 3,233.44 is: 4,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.49 : 11,512.37 = 3,233.44 : x
  2. Step 2: Convert to fraction form
    7,674.49/11,512.37 = 3,233.44/x
  3. Step 3: Cross multiply
    7,674.49x = 11,512.37 × 3,233.44
  4. Step 4: Simplify right side
    7,674.49x = 37,224,541.49
  5. Step 5: Solve for x
    x = 37,224,541.49/7,674.49
  6. Step 6: Final answer
    x = 4,850.43

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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.