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Finding the Fourth Proportional to 6,976.82, 10,465.23 and 1,782.70

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Solution

The fourth proportional to 6,976.82, 10,465.23 and 1,782.70 is: 2,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.82 : 10,465.23 = 1,782.70 : x
  2. Step 2: Convert to fraction form
    6,976.82/10,465.23 = 1,782.70/x
  3. Step 3: Cross multiply
    6,976.82x = 10,465.23 × 1,782.70
  4. Step 4: Simplify right side
    6,976.82x = 18,656,313.19
  5. Step 5: Solve for x
    x = 18,656,313.19/6,976.82
  6. Step 6: Final answer
    x = 2,674.04

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