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Finding the Fourth Proportional to 5,213.62, 7,821.78 and 1,516.11

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Solution

The fourth proportional to 5,213.62, 7,821.78 and 1,516.11 is: 2,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.62 : 7,821.78 = 1,516.11 : x
  2. Step 2: Convert to fraction form
    5,213.62/7,821.78 = 1,516.11/x
  3. Step 3: Cross multiply
    5,213.62x = 7,821.78 × 1,516.11
  4. Step 4: Simplify right side
    5,213.62x = 11,858,678.88
  5. Step 5: Solve for x
    x = 11,858,678.88/5,213.62
  6. Step 6: Final answer
    x = 2,274.56

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