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Finding the Fourth Proportional to 7,727.81, 11,592.11 and 3,782.70

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Solution

The fourth proportional to 7,727.81, 11,592.11 and 3,782.70 is: 5,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.81 : 11,592.11 = 3,782.70 : x
  2. Step 2: Convert to fraction form
    7,727.81/11,592.11 = 3,782.70/x
  3. Step 3: Cross multiply
    7,727.81x = 11,592.11 × 3,782.70
  4. Step 4: Simplify right side
    7,727.81x = 43,849,483.95
  5. Step 5: Solve for x
    x = 43,849,483.95/7,727.81
  6. Step 6: Final answer
    x = 5,674.25

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