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Finding the Fourth Proportional to 10,299.94, 14,213.80 and 5,823.74

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Solution

The fourth proportional to 10,299.94, 14,213.80 and 5,823.74 is: 8,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.94 : 14,213.80 = 5,823.74 : x
  2. Step 2: Convert to fraction form
    10,299.94/14,213.80 = 5,823.74/x
  3. Step 3: Cross multiply
    10,299.94x = 14,213.80 × 5,823.74
  4. Step 4: Simplify right side
    10,299.94x = 82,777,475.61
  5. Step 5: Solve for x
    x = 82,777,475.61/10,299.94
  6. Step 6: Final answer
    x = 8,036.69

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