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Finding the Fourth Proportional to 6,835.92, 10,253.88 and 5,382.80

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Solution

The fourth proportional to 6,835.92, 10,253.88 and 5,382.80 is: 8,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.92 : 10,253.88 = 5,382.80 : x
  2. Step 2: Convert to fraction form
    6,835.92/10,253.88 = 5,382.80/x
  3. Step 3: Cross multiply
    6,835.92x = 10,253.88 × 5,382.80
  4. Step 4: Simplify right side
    6,835.92x = 55,194,585.26
  5. Step 5: Solve for x
    x = 55,194,585.26/6,835.92
  6. Step 6: Final answer
    x = 8,074.20

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