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Finding the Fourth Proportional to 11,696.01, 16,141.41 and 6,661.77

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Solution

The fourth proportional to 11,696.01, 16,141.41 and 6,661.77 is: 9,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.01 : 16,141.41 = 6,661.77 : x
  2. Step 2: Convert to fraction form
    11,696.01/16,141.41 = 6,661.77/x
  3. Step 3: Cross multiply
    11,696.01x = 16,141.41 × 6,661.77
  4. Step 4: Simplify right side
    11,696.01x = 107,530,360.90
  5. Step 5: Solve for x
    x = 107,530,360.90/11,696.01
  6. Step 6: Final answer
    x = 9,193.76

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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.