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Finding the Fourth Proportional to 7,214.64, 10,825.19 and 3,922.80

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Solution

The fourth proportional to 7,214.64, 10,825.19 and 3,922.80 is: 5,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.64 : 10,825.19 = 3,922.80 : x
  2. Step 2: Convert to fraction form
    7,214.64/10,825.19 = 3,922.80/x
  3. Step 3: Cross multiply
    7,214.64x = 10,825.19 × 3,922.80
  4. Step 4: Simplify right side
    7,214.64x = 42,465,035.72
  5. Step 5: Solve for x
    x = 42,465,035.72/7,214.64
  6. Step 6: Final answer
    x = 5,885.95

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