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Finding the Fourth Proportional to 11,949.30, 16,490.22 and 6,571.97

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Solution

The fourth proportional to 11,949.30, 16,490.22 and 6,571.97 is: 9,069.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.30 : 16,490.22 = 6,571.97 : x
  2. Step 2: Convert to fraction form
    11,949.30/16,490.22 = 6,571.97/x
  3. Step 3: Cross multiply
    11,949.30x = 16,490.22 × 6,571.97
  4. Step 4: Simplify right side
    11,949.30x = 108,373,247.56
  5. Step 5: Solve for x
    x = 108,373,247.56/11,949.30
  6. Step 6: Final answer
    x = 9,069.42

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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.