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Finding the Fourth Proportional to 7,863.20, 11,794.80 and 3,478.40

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Solution

The fourth proportional to 7,863.20, 11,794.80 and 3,478.40 is: 5,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.20 : 11,794.80 = 3,478.40 : x
  2. Step 2: Convert to fraction form
    7,863.20/11,794.80 = 3,478.40/x
  3. Step 3: Cross multiply
    7,863.20x = 11,794.80 × 3,478.40
  4. Step 4: Simplify right side
    7,863.20x = 41,027,032.32
  5. Step 5: Solve for x
    x = 41,027,032.32/7,863.20
  6. Step 6: Final answer
    x = 5,217.60

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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.