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Finding the Fourth Proportional to 11,949.84, 16,489.31 and 6,571.39

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Solution

The fourth proportional to 11,949.84, 16,489.31 and 6,571.39 is: 9,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.84 : 16,489.31 = 6,571.39 : x
  2. Step 2: Convert to fraction form
    11,949.84/16,489.31 = 6,571.39/x
  3. Step 3: Cross multiply
    11,949.84x = 16,489.31 × 6,571.39
  4. Step 4: Simplify right side
    11,949.84x = 108,357,686.84
  5. Step 5: Solve for x
    x = 108,357,686.84/11,949.84
  6. Step 6: Final answer
    x = 9,067.71

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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.