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Finding the Fourth Proportional to 11,753.25, 17,627.98 and 3,431.31

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Solution

The fourth proportional to 11,753.25, 17,627.98 and 3,431.31 is: 5,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.25 : 17,627.98 = 3,431.31 : x
  2. Step 2: Convert to fraction form
    11,753.25/17,627.98 = 3,431.31/x
  3. Step 3: Cross multiply
    11,753.25x = 17,627.98 × 3,431.31
  4. Step 4: Simplify right side
    11,753.25x = 60,487,064.05
  5. Step 5: Solve for x
    x = 60,487,064.05/11,753.25
  6. Step 6: Final answer
    x = 5,146.41

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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.