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Finding the Fourth Proportional to 8,474.82, 11,682.29 and 5,949.85

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Solution

The fourth proportional to 8,474.82, 11,682.29 and 5,949.85 is: 8,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.82 : 11,682.29 = 5,949.85 : x
  2. Step 2: Convert to fraction form
    8,474.82/11,682.29 = 5,949.85/x
  3. Step 3: Cross multiply
    8,474.82x = 11,682.29 × 5,949.85
  4. Step 4: Simplify right side
    8,474.82x = 69,507,873.16
  5. Step 5: Solve for x
    x = 69,507,873.16/8,474.82
  6. Step 6: Final answer
    x = 8,201.69

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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.