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Finding the Fourth Proportional to 11,601.68, 16,016.87 and 8,021.88

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Solution

The fourth proportional to 11,601.68, 16,016.87 and 8,021.88 is: 11,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.68 : 16,016.87 = 8,021.88 : x
  2. Step 2: Convert to fraction form
    11,601.68/16,016.87 = 8,021.88/x
  3. Step 3: Cross multiply
    11,601.68x = 16,016.87 × 8,021.88
  4. Step 4: Simplify right side
    11,601.68x = 128,485,429.17
  5. Step 5: Solve for x
    x = 128,485,429.17/11,601.68
  6. Step 6: Final answer
    x = 11,074.73

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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.