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Finding the Fourth Proportional to 7,786.75, 11,683.77 and 3,405.46

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Solution

The fourth proportional to 7,786.75, 11,683.77 and 3,405.46 is: 5,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.75 : 11,683.77 = 3,405.46 : x
  2. Step 2: Convert to fraction form
    7,786.75/11,683.77 = 3,405.46/x
  3. Step 3: Cross multiply
    7,786.75x = 11,683.77 × 3,405.46
  4. Step 4: Simplify right side
    7,786.75x = 39,788,611.38
  5. Step 5: Solve for x
    x = 39,788,611.38/7,786.75
  6. Step 6: Final answer
    x = 5,109.78

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