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Finding the Fourth Proportional to 6,920.78, 10,382.68 and 2,538.28

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Solution

The fourth proportional to 6,920.78, 10,382.68 and 2,538.28 is: 3,807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.78 : 10,382.68 = 2,538.28 : x
  2. Step 2: Convert to fraction form
    6,920.78/10,382.68 = 2,538.28/x
  3. Step 3: Cross multiply
    6,920.78x = 10,382.68 × 2,538.28
  4. Step 4: Simplify right side
    6,920.78x = 26,354,148.99
  5. Step 5: Solve for x
    x = 26,354,148.99/6,920.78
  6. Step 6: Final answer
    x = 3,807.97

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