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Finding the Fourth Proportional to 7,983.58, 11,969.81 and 3,538.84

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Solution

The fourth proportional to 7,983.58, 11,969.81 and 3,538.84 is: 5,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.58 : 11,969.81 = 3,538.84 : x
  2. Step 2: Convert to fraction form
    7,983.58/11,969.81 = 3,538.84/x
  3. Step 3: Cross multiply
    7,983.58x = 11,969.81 × 3,538.84
  4. Step 4: Simplify right side
    7,983.58x = 42,359,242.42
  5. Step 5: Solve for x
    x = 42,359,242.42/7,983.58
  6. Step 6: Final answer
    x = 5,305.80

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