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Finding the Fourth Proportional to 11,896.68, 16,419.75 and 6,860.73

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Solution

The fourth proportional to 11,896.68, 16,419.75 and 6,860.73 is: 9,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.68 : 16,419.75 = 6,860.73 : x
  2. Step 2: Convert to fraction form
    11,896.68/16,419.75 = 6,860.73/x
  3. Step 3: Cross multiply
    11,896.68x = 16,419.75 × 6,860.73
  4. Step 4: Simplify right side
    11,896.68x = 112,651,471.42
  5. Step 5: Solve for x
    x = 112,651,471.42/11,896.68
  6. Step 6: Final answer
    x = 9,469.15

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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.