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Finding the Fourth Proportional to 5,102.68, 7,656.21 and 2,764.33

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Solution

The fourth proportional to 5,102.68, 7,656.21 and 2,764.33 is: 4,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.68 : 7,656.21 = 2,764.33 : x
  2. Step 2: Convert to fraction form
    5,102.68/7,656.21 = 2,764.33/x
  3. Step 3: Cross multiply
    5,102.68x = 7,656.21 × 2,764.33
  4. Step 4: Simplify right side
    5,102.68x = 21,164,290.99
  5. Step 5: Solve for x
    x = 21,164,290.99/5,102.68
  6. Step 6: Final answer
    x = 4,147.68

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