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Finding the Fourth Proportional to 7,836.40, 11,754.78 and 1,993.06

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Solution

The fourth proportional to 7,836.40, 11,754.78 and 1,993.06 is: 2,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.40 : 11,754.78 = 1,993.06 : x
  2. Step 2: Convert to fraction form
    7,836.40/11,754.78 = 1,993.06/x
  3. Step 3: Cross multiply
    7,836.40x = 11,754.78 × 1,993.06
  4. Step 4: Simplify right side
    7,836.40x = 23,427,981.83
  5. Step 5: Solve for x
    x = 23,427,981.83/7,836.40
  6. Step 6: Final answer
    x = 2,989.64

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