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Finding the Fourth Proportional to 7,863.20, 11,782.20 and 4,160.60

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Solution

The fourth proportional to 7,863.20, 11,782.20 and 4,160.60 is: 6,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.20 : 11,782.20 = 4,160.60 : x
  2. Step 2: Convert to fraction form
    7,863.20/11,782.20 = 4,160.60/x
  3. Step 3: Cross multiply
    7,863.20x = 11,782.20 × 4,160.60
  4. Step 4: Simplify right side
    7,863.20x = 49,021,021.32
  5. Step 5: Solve for x
    x = 49,021,021.32/7,863.20
  6. Step 6: Final answer
    x = 6,234.23

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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.