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Finding the Fourth Proportional to 7,984.64, 11,958.64 and 3,827.59

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Solution

The fourth proportional to 7,984.64, 11,958.64 and 3,827.59 is: 5,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.64 : 11,958.64 = 3,827.59 : x
  2. Step 2: Convert to fraction form
    7,984.64/11,958.64 = 3,827.59/x
  3. Step 3: Cross multiply
    7,984.64x = 11,958.64 × 3,827.59
  4. Step 4: Simplify right side
    7,984.64x = 45,772,731.41
  5. Step 5: Solve for x
    x = 45,772,731.41/7,984.64
  6. Step 6: Final answer
    x = 5,732.60

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