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Finding the Fourth Proportional to 6,948.18, 10,421.19 and 2,564.64

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Solution

The fourth proportional to 6,948.18, 10,421.19 and 2,564.64 is: 3,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.18 : 10,421.19 = 2,564.64 : x
  2. Step 2: Convert to fraction form
    6,948.18/10,421.19 = 2,564.64/x
  3. Step 3: Cross multiply
    6,948.18x = 10,421.19 × 2,564.64
  4. Step 4: Simplify right side
    6,948.18x = 26,726,600.72
  5. Step 5: Solve for x
    x = 26,726,600.72/6,948.18
  6. Step 6: Final answer
    x = 3,846.56

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