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Finding the Fourth Proportional to 11,696.33, 16,140.89 and 6,919.56

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Solution

The fourth proportional to 11,696.33, 16,140.89 and 6,919.56 is: 9,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.33 : 16,140.89 = 6,919.56 : x
  2. Step 2: Convert to fraction form
    11,696.33/16,140.89 = 6,919.56/x
  3. Step 3: Cross multiply
    11,696.33x = 16,140.89 × 6,919.56
  4. Step 4: Simplify right side
    11,696.33x = 111,687,874.11
  5. Step 5: Solve for x
    x = 111,687,874.11/11,696.33
  6. Step 6: Final answer
    x = 9,548.97

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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.