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Finding the Fourth Proportional to 10,409.58, 15,616.46 and 3,835.80

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Solution

The fourth proportional to 10,409.58, 15,616.46 and 3,835.80 is: 5,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.58 : 15,616.46 = 3,835.80 : x
  2. Step 2: Convert to fraction form
    10,409.58/15,616.46 = 3,835.80/x
  3. Step 3: Cross multiply
    10,409.58x = 15,616.46 × 3,835.80
  4. Step 4: Simplify right side
    10,409.58x = 59,901,617.27
  5. Step 5: Solve for x
    x = 59,901,617.27/10,409.58
  6. Step 6: Final answer
    x = 5,754.47

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