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Finding the Fourth Proportional to 7,734.41, 10,666.89 and 5,213.20

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Solution

The fourth proportional to 7,734.41, 10,666.89 and 5,213.20 is: 7,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.41 : 10,666.89 = 5,213.20 : x
  2. Step 2: Convert to fraction form
    7,734.41/10,666.89 = 5,213.20/x
  3. Step 3: Cross multiply
    7,734.41x = 10,666.89 × 5,213.20
  4. Step 4: Simplify right side
    7,734.41x = 55,608,604.88
  5. Step 5: Solve for x
    x = 55,608,604.88/7,734.41
  6. Step 6: Final answer
    x = 7,189.77

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