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Finding the Fourth Proportional to 11,771.82, 17,660.79 and 4,378.41

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Solution

The fourth proportional to 11,771.82, 17,660.79 and 4,378.41 is: 6,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.82 : 17,660.79 = 4,378.41 : x
  2. Step 2: Convert to fraction form
    11,771.82/17,660.79 = 4,378.41/x
  3. Step 3: Cross multiply
    11,771.82x = 17,660.79 × 4,378.41
  4. Step 4: Simplify right side
    11,771.82x = 77,326,179.54
  5. Step 5: Solve for x
    x = 77,326,179.54/11,771.82
  6. Step 6: Final answer
    x = 6,568.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.