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Finding the Fourth Proportional to 10,619.92, 14,651.28 and 6,142.84

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Solution

The fourth proportional to 10,619.92, 14,651.28 and 6,142.84 is: 8,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,619.92 : 14,651.28 = 6,142.84 : x
  2. Step 2: Convert to fraction form
    10,619.92/14,651.28 = 6,142.84/x
  3. Step 3: Cross multiply
    10,619.92x = 14,651.28 × 6,142.84
  4. Step 4: Simplify right side
    10,619.92x = 90,000,468.84
  5. Step 5: Solve for x
    x = 90,000,468.84/10,619.92
  6. Step 6: Final answer
    x = 8,474.68

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