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Finding the Fourth Proportional to 7,847.78, 11,772.20 and 3,465.27

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Solution

The fourth proportional to 7,847.78, 11,772.20 and 3,465.27 is: 5,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.78 : 11,772.20 = 3,465.27 : x
  2. Step 2: Convert to fraction form
    7,847.78/11,772.20 = 3,465.27/x
  3. Step 3: Cross multiply
    7,847.78x = 11,772.20 × 3,465.27
  4. Step 4: Simplify right side
    7,847.78x = 40,793,860.16
  5. Step 5: Solve for x
    x = 40,793,860.16/7,847.78
  6. Step 6: Final answer
    x = 5,198.14

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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.