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Finding the Fourth Proportional to 11,803.27, 16,286.82 and 6,767.70

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Solution

The fourth proportional to 11,803.27, 16,286.82 and 6,767.70 is: 9,338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.27 : 16,286.82 = 6,767.70 : x
  2. Step 2: Convert to fraction form
    11,803.27/16,286.82 = 6,767.70/x
  3. Step 3: Cross multiply
    11,803.27x = 16,286.82 × 6,767.70
  4. Step 4: Simplify right side
    11,803.27x = 110,224,354.94
  5. Step 5: Solve for x
    x = 110,224,354.94/11,803.27
  6. Step 6: Final answer
    x = 9,338.46

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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.