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Finding the Fourth Proportional to 11,563.21, 17,344.20 and 3,243.80

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Solution

The fourth proportional to 11,563.21, 17,344.20 and 3,243.80 is: 4,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.21 : 17,344.20 = 3,243.80 : x
  2. Step 2: Convert to fraction form
    11,563.21/17,344.20 = 3,243.80/x
  3. Step 3: Cross multiply
    11,563.21x = 17,344.20 × 3,243.80
  4. Step 4: Simplify right side
    11,563.21x = 56,261,115.96
  5. Step 5: Solve for x
    x = 56,261,115.96/11,563.21
  6. Step 6: Final answer
    x = 4,865.53

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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.