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Finding the Fourth Proportional to 11,696.09, 16,138.74 and 6,660.41

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Solution

The fourth proportional to 11,696.09, 16,138.74 and 6,660.41 is: 9,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.09 : 16,138.74 = 6,660.41 : x
  2. Step 2: Convert to fraction form
    11,696.09/16,138.74 = 6,660.41/x
  3. Step 3: Cross multiply
    11,696.09x = 16,138.74 × 6,660.41
  4. Step 4: Simplify right side
    11,696.09x = 107,490,625.28
  5. Step 5: Solve for x
    x = 107,490,625.28/11,696.09
  6. Step 6: Final answer
    x = 9,190.30

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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.