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Finding the Fourth Proportional to 10,299.80, 14,214.52 and 5,823.64

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Solution

The fourth proportional to 10,299.80, 14,214.52 and 5,823.64 is: 8,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.80 : 14,214.52 = 5,823.64 : x
  2. Step 2: Convert to fraction form
    10,299.80/14,214.52 = 5,823.64/x
  3. Step 3: Cross multiply
    10,299.80x = 14,214.52 × 5,823.64
  4. Step 4: Simplify right side
    10,299.80x = 82,780,272.30
  5. Step 5: Solve for x
    x = 82,780,272.30/10,299.80
  6. Step 6: Final answer
    x = 8,037.07

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