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Finding the Fourth Proportional to 11,546.34, 17,324.10 and 3,755.22

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Solution

The fourth proportional to 11,546.34, 17,324.10 and 3,755.22 is: 5,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.34 : 17,324.10 = 3,755.22 : x
  2. Step 2: Convert to fraction form
    11,546.34/17,324.10 = 3,755.22/x
  3. Step 3: Cross multiply
    11,546.34x = 17,324.10 × 3,755.22
  4. Step 4: Simplify right side
    11,546.34x = 65,055,806.80
  5. Step 5: Solve for x
    x = 65,055,806.80/11,546.34
  6. Step 6: Final answer
    x = 5,634.32

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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.