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Finding the Fourth Proportional to 11,694.06, 16,137.09 and 6,388.56

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Solution

The fourth proportional to 11,694.06, 16,137.09 and 6,388.56 is: 8,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.06 : 16,137.09 = 6,388.56 : x
  2. Step 2: Convert to fraction form
    11,694.06/16,137.09 = 6,388.56/x
  3. Step 3: Cross multiply
    11,694.06x = 16,137.09 × 6,388.56
  4. Step 4: Simplify right side
    11,694.06x = 103,092,767.69
  5. Step 5: Solve for x
    x = 103,092,767.69/11,694.06
  6. Step 6: Final answer
    x = 8,815.82

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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.