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Finding the Fourth Proportional to 6,824.66, 10,237.19 and 3,706.16

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Solution

The fourth proportional to 6,824.66, 10,237.19 and 3,706.16 is: 5,559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.66 : 10,237.19 = 3,706.16 : x
  2. Step 2: Convert to fraction form
    6,824.66/10,237.19 = 3,706.16/x
  3. Step 3: Cross multiply
    6,824.66x = 10,237.19 × 3,706.16
  4. Step 4: Simplify right side
    6,824.66x = 37,940,594.37
  5. Step 5: Solve for x
    x = 37,940,594.37/6,824.66
  6. Step 6: Final answer
    x = 5,559.34

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