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Finding the Fourth Proportional to 5,163.12, 7,742.16 and 1,830.24

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Solution

The fourth proportional to 5,163.12, 7,742.16 and 1,830.24 is: 2,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.12 : 7,742.16 = 1,830.24 : x
  2. Step 2: Convert to fraction form
    5,163.12/7,742.16 = 1,830.24/x
  3. Step 3: Cross multiply
    5,163.12x = 7,742.16 × 1,830.24
  4. Step 4: Simplify right side
    5,163.12x = 14,170,010.92
  5. Step 5: Solve for x
    x = 14,170,010.92/5,163.12
  6. Step 6: Final answer
    x = 2,744.47

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