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Finding the Fourth Proportional to 6,948.96, 10,418.24 and 2,565.60

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Solution

The fourth proportional to 6,948.96, 10,418.24 and 2,565.60 is: 3,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.96 : 10,418.24 = 2,565.60 : x
  2. Step 2: Convert to fraction form
    6,948.96/10,418.24 = 2,565.60/x
  3. Step 3: Cross multiply
    6,948.96x = 10,418.24 × 2,565.60
  4. Step 4: Simplify right side
    6,948.96x = 26,729,036.54
  5. Step 5: Solve for x
    x = 26,729,036.54/6,948.96
  6. Step 6: Final answer
    x = 3,846.48

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