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Finding the Fourth Proportional to 8,183.40, 12,255.66 and 5,837.64

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Solution

The fourth proportional to 8,183.40, 12,255.66 and 5,837.64 is: 8,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.40 : 12,255.66 = 5,837.64 : x
  2. Step 2: Convert to fraction form
    8,183.40/12,255.66 = 5,837.64/x
  3. Step 3: Cross multiply
    8,183.40x = 12,255.66 × 5,837.64
  4. Step 4: Simplify right side
    8,183.40x = 71,544,131.04
  5. Step 5: Solve for x
    x = 71,544,131.04/8,183.40
  6. Step 6: Final answer
    x = 8,742.59

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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.