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Finding the Fourth Proportional to 8,201.70, 11,314.19 and 4,796.48

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Solution

The fourth proportional to 8,201.70, 11,314.19 and 4,796.48 is: 6,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.70 : 11,314.19 = 4,796.48 : x
  2. Step 2: Convert to fraction form
    8,201.70/11,314.19 = 4,796.48/x
  3. Step 3: Cross multiply
    8,201.70x = 11,314.19 × 4,796.48
  4. Step 4: Simplify right side
    8,201.70x = 54,268,286.05
  5. Step 5: Solve for x
    x = 54,268,286.05/8,201.70
  6. Step 6: Final answer
    x = 6,616.71

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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.