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Finding the Fourth Proportional to 7,838.92, 11,756.22 and 5,629.24

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Solution

The fourth proportional to 7,838.92, 11,756.22 and 5,629.24 is: 8,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.92 : 11,756.22 = 5,629.24 : x
  2. Step 2: Convert to fraction form
    7,838.92/11,756.22 = 5,629.24/x
  3. Step 3: Cross multiply
    7,838.92x = 11,756.22 × 5,629.24
  4. Step 4: Simplify right side
    7,838.92x = 66,178,583.87
  5. Step 5: Solve for x
    x = 66,178,583.87/7,838.92
  6. Step 6: Final answer
    x = 8,442.31

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