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Finding the Fourth Proportional to 7,666.24, 11,500.80 and 3,049.60

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Solution

The fourth proportional to 7,666.24, 11,500.80 and 3,049.60 is: 4,574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.24 : 11,500.80 = 3,049.60 : x
  2. Step 2: Convert to fraction form
    7,666.24/11,500.80 = 3,049.60/x
  3. Step 3: Cross multiply
    7,666.24x = 11,500.80 × 3,049.60
  4. Step 4: Simplify right side
    7,666.24x = 35,072,839.68
  5. Step 5: Solve for x
    x = 35,072,839.68/7,666.24
  6. Step 6: Final answer
    x = 4,574.97

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