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Finding the Fourth Proportional to 7,766.78, 11,648.63 and 3,022.94

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Solution

The fourth proportional to 7,766.78, 11,648.63 and 3,022.94 is: 4,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.78 : 11,648.63 = 3,022.94 : x
  2. Step 2: Convert to fraction form
    7,766.78/11,648.63 = 3,022.94/x
  3. Step 3: Cross multiply
    7,766.78x = 11,648.63 × 3,022.94
  4. Step 4: Simplify right side
    7,766.78x = 35,213,146.25
  5. Step 5: Solve for x
    x = 35,213,146.25/7,766.78
  6. Step 6: Final answer
    x = 4,533.82

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