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Finding the Fourth Proportional to 7,466.64, 11,201.84 and 2,786.80

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Solution

The fourth proportional to 7,466.64, 11,201.84 and 2,786.80 is: 4,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.64 : 11,201.84 = 2,786.80 : x
  2. Step 2: Convert to fraction form
    7,466.64/11,201.84 = 2,786.80/x
  3. Step 3: Cross multiply
    7,466.64x = 11,201.84 × 2,786.80
  4. Step 4: Simplify right side
    7,466.64x = 31,217,287.71
  5. Step 5: Solve for x
    x = 31,217,287.71/7,466.64
  6. Step 6: Final answer
    x = 4,180.90

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