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Finding the Fourth Proportional to 7,185.78, 10,778.70 and 1,991.28

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Solution

The fourth proportional to 7,185.78, 10,778.70 and 1,991.28 is: 2,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.78 : 10,778.70 = 1,991.28 : x
  2. Step 2: Convert to fraction form
    7,185.78/10,778.70 = 1,991.28/x
  3. Step 3: Cross multiply
    7,185.78x = 10,778.70 × 1,991.28
  4. Step 4: Simplify right side
    7,185.78x = 21,463,409.74
  5. Step 5: Solve for x
    x = 21,463,409.74/7,185.78
  6. Step 6: Final answer
    x = 2,986.93

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