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Finding the Fourth Proportional to 7,824.85, 11,729.07 and 3,661.34

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Solution

The fourth proportional to 7,824.85, 11,729.07 and 3,661.34 is: 5,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.85 : 11,729.07 = 3,661.34 : x
  2. Step 2: Convert to fraction form
    7,824.85/11,729.07 = 3,661.34/x
  3. Step 3: Cross multiply
    7,824.85x = 11,729.07 × 3,661.34
  4. Step 4: Simplify right side
    7,824.85x = 42,944,113.15
  5. Step 5: Solve for x
    x = 42,944,113.15/7,824.85
  6. Step 6: Final answer
    x = 5,488.17

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