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Finding the Fourth Proportional to 7,863.14, 11,794.75 and 3,480.64

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Solution

The fourth proportional to 7,863.14, 11,794.75 and 3,480.64 is: 5,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.14 : 11,794.75 = 3,480.64 : x
  2. Step 2: Convert to fraction form
    7,863.14/11,794.75 = 3,480.64/x
  3. Step 3: Cross multiply
    7,863.14x = 11,794.75 × 3,480.64
  4. Step 4: Simplify right side
    7,863.14x = 41,053,240.45
  5. Step 5: Solve for x
    x = 41,053,240.45/7,863.14
  6. Step 6: Final answer
    x = 5,220.97

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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.