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Finding the Fourth Proportional to 7,738.80, 11,602.74 and 3,791.28

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Solution

The fourth proportional to 7,738.80, 11,602.74 and 3,791.28 is: 5,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.80 : 11,602.74 = 3,791.28 : x
  2. Step 2: Convert to fraction form
    7,738.80/11,602.74 = 3,791.28/x
  3. Step 3: Cross multiply
    7,738.80x = 11,602.74 × 3,791.28
  4. Step 4: Simplify right side
    7,738.80x = 43,989,236.11
  5. Step 5: Solve for x
    x = 43,989,236.11/7,738.80
  6. Step 6: Final answer
    x = 5,684.25

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