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Finding the Fourth Proportional to 11,540.56, 17,311.44 and 3,644.16

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Solution

The fourth proportional to 11,540.56, 17,311.44 and 3,644.16 is: 5,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.56 : 17,311.44 = 3,644.16 : x
  2. Step 2: Convert to fraction form
    11,540.56/17,311.44 = 3,644.16/x
  3. Step 3: Cross multiply
    11,540.56x = 17,311.44 × 3,644.16
  4. Step 4: Simplify right side
    11,540.56x = 63,085,657.19
  5. Step 5: Solve for x
    x = 63,085,657.19/11,540.56
  6. Step 6: Final answer
    x = 5,466.43

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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.