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Finding the Fourth Proportional to 7,742.78, 10,684.97 and 4,205.99

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Solution

The fourth proportional to 7,742.78, 10,684.97 and 4,205.99 is: 5,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.78 : 10,684.97 = 4,205.99 : x
  2. Step 2: Convert to fraction form
    7,742.78/10,684.97 = 4,205.99/x
  3. Step 3: Cross multiply
    7,742.78x = 10,684.97 × 4,205.99
  4. Step 4: Simplify right side
    7,742.78x = 44,940,914.20
  5. Step 5: Solve for x
    x = 44,940,914.20/7,742.78
  6. Step 6: Final answer
    x = 5,804.23

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