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Finding the Fourth Proportional to 7,729.59, 10,666.86 and 4,192.80

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Solution

The fourth proportional to 7,729.59, 10,666.86 and 4,192.80 is: 5,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.59 : 10,666.86 = 4,192.80 : x
  2. Step 2: Convert to fraction form
    7,729.59/10,666.86 = 4,192.80/x
  3. Step 3: Cross multiply
    7,729.59x = 10,666.86 × 4,192.80
  4. Step 4: Simplify right side
    7,729.59x = 44,723,954.88
  5. Step 5: Solve for x
    x = 44,723,954.88/7,729.59
  6. Step 6: Final answer
    x = 5,786.07

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