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Finding the Fourth Proportional to 7,766.52, 11,650.44 and 6,852.84

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Solution

The fourth proportional to 7,766.52, 11,650.44 and 6,852.84 is: 10,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.52 : 11,650.44 = 6,852.84 : x
  2. Step 2: Convert to fraction form
    7,766.52/11,650.44 = 6,852.84/x
  3. Step 3: Cross multiply
    7,766.52x = 11,650.44 × 6,852.84
  4. Step 4: Simplify right side
    7,766.52x = 79,838,601.25
  5. Step 5: Solve for x
    x = 79,838,601.25/7,766.52
  6. Step 6: Final answer
    x = 10,279.84

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