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Finding the Fourth Proportional to 8,224.32, 11,346.97 and 5,034.29

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Solution

The fourth proportional to 8,224.32, 11,346.97 and 5,034.29 is: 6,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.32 : 11,346.97 = 5,034.29 : x
  2. Step 2: Convert to fraction form
    8,224.32/11,346.97 = 5,034.29/x
  3. Step 3: Cross multiply
    8,224.32x = 11,346.97 × 5,034.29
  4. Step 4: Simplify right side
    8,224.32x = 57,123,937.60
  5. Step 5: Solve for x
    x = 57,123,937.60/8,224.32
  6. Step 6: Final answer
    x = 6,945.73

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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.