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Finding the Fourth Proportional to 10,299.63, 14,213.70 and 5,823.48

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Solution

The fourth proportional to 10,299.63, 14,213.70 and 5,823.48 is: 8,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.63 : 14,213.70 = 5,823.48 : x
  2. Step 2: Convert to fraction form
    10,299.63/14,213.70 = 5,823.48/x
  3. Step 3: Cross multiply
    10,299.63x = 14,213.70 × 5,823.48
  4. Step 4: Simplify right side
    10,299.63x = 82,773,197.68
  5. Step 5: Solve for x
    x = 82,773,197.68/10,299.63
  6. Step 6: Final answer
    x = 8,036.52

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