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Finding the Fourth Proportional to 7,825.32, 11,735.19 and 3,664.62

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Solution

The fourth proportional to 7,825.32, 11,735.19 and 3,664.62 is: 5,495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.32 : 11,735.19 = 3,664.62 : x
  2. Step 2: Convert to fraction form
    7,825.32/11,735.19 = 3,664.62/x
  3. Step 3: Cross multiply
    7,825.32x = 11,735.19 × 3,664.62
  4. Step 4: Simplify right side
    7,825.32x = 43,005,011.98
  5. Step 5: Solve for x
    x = 43,005,011.98/7,825.32
  6. Step 6: Final answer
    x = 5,495.62

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