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Finding the Fourth Proportional to 8,021.50, 11,069.67 and 5,227

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Solution

The fourth proportional to 8,021.50, 11,069.67 and 5,227 is: 7,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.50 : 11,069.67 = 5,227 : x
  2. Step 2: Convert to fraction form
    8,021.50/11,069.67 = 5,227/x
  3. Step 3: Cross multiply
    8,021.50x = 11,069.67 × 5,227
  4. Step 4: Simplify right side
    8,021.50x = 57,861,165.09
  5. Step 5: Solve for x
    x = 57,861,165.09/8,021.50
  6. Step 6: Final answer
    x = 7,213.26

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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.