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Finding the Fourth Proportional to 8,183.67, 11,293.17 and 5,002.30

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Solution

The fourth proportional to 8,183.67, 11,293.17 and 5,002.30 is: 6,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.67 : 11,293.17 = 5,002.30 : x
  2. Step 2: Convert to fraction form
    8,183.67/11,293.17 = 5,002.30/x
  3. Step 3: Cross multiply
    8,183.67x = 11,293.17 × 5,002.30
  4. Step 4: Simplify right side
    8,183.67x = 56,491,796.06
  5. Step 5: Solve for x
    x = 56,491,796.06/8,183.67
  6. Step 6: Final answer
    x = 6,902.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.