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Finding the Fourth Proportional to 10,072.70, 13,900.64 and 5,596.80

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Solution

The fourth proportional to 10,072.70, 13,900.64 and 5,596.80 is: 7,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.70 : 13,900.64 = 5,596.80 : x
  2. Step 2: Convert to fraction form
    10,072.70/13,900.64 = 5,596.80/x
  3. Step 3: Cross multiply
    10,072.70x = 13,900.64 × 5,596.80
  4. Step 4: Simplify right side
    10,072.70x = 77,799,073.97
  5. Step 5: Solve for x
    x = 77,799,073.97/10,072.70
  6. Step 6: Final answer
    x = 7,723.76

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