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Finding the Fourth Proportional to 7,778.56, 11,668.02 and 2,584.84

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Solution

The fourth proportional to 7,778.56, 11,668.02 and 2,584.84 is: 3,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.56 : 11,668.02 = 2,584.84 : x
  2. Step 2: Convert to fraction form
    7,778.56/11,668.02 = 2,584.84/x
  3. Step 3: Cross multiply
    7,778.56x = 11,668.02 × 2,584.84
  4. Step 4: Simplify right side
    7,778.56x = 30,159,964.82
  5. Step 5: Solve for x
    x = 30,159,964.82/7,778.56
  6. Step 6: Final answer
    x = 3,877.32

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