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Finding the Fourth Proportional to 8,201.79, 11,319.49 and 5,181.31

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Solution

The fourth proportional to 8,201.79, 11,319.49 and 5,181.31 is: 7,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.79 : 11,319.49 = 5,181.31 : x
  2. Step 2: Convert to fraction form
    8,201.79/11,319.49 = 5,181.31/x
  3. Step 3: Cross multiply
    8,201.79x = 11,319.49 × 5,181.31
  4. Step 4: Simplify right side
    8,201.79x = 58,649,760.83
  5. Step 5: Solve for x
    x = 58,649,760.83/8,201.79
  6. Step 6: Final answer
    x = 7,150.85

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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.