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Finding the Fourth Proportional to 5,187.74, 7,786.47 and 2,416.33

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Solution

The fourth proportional to 5,187.74, 7,786.47 and 2,416.33 is: 3,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.74 : 7,786.47 = 2,416.33 : x
  2. Step 2: Convert to fraction form
    5,187.74/7,786.47 = 2,416.33/x
  3. Step 3: Cross multiply
    5,187.74x = 7,786.47 × 2,416.33
  4. Step 4: Simplify right side
    5,187.74x = 18,814,642.12
  5. Step 5: Solve for x
    x = 18,814,642.12/5,187.74
  6. Step 6: Final answer
    x = 3,626.75

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