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Finding the Fourth Proportional to 8,227.96, 11,354.53 and 4,451.11

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Solution

The fourth proportional to 8,227.96, 11,354.53 and 4,451.11 is: 6,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.96 : 11,354.53 = 4,451.11 : x
  2. Step 2: Convert to fraction form
    8,227.96/11,354.53 = 4,451.11/x
  3. Step 3: Cross multiply
    8,227.96x = 11,354.53 × 4,451.11
  4. Step 4: Simplify right side
    8,227.96x = 50,540,183.00
  5. Step 5: Solve for x
    x = 50,540,183.00/8,227.96
  6. Step 6: Final answer
    x = 6,142.50

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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.