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Finding the Fourth Proportional to 11,565.42, 15,960.15 and 6,849.78

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Solution

The fourth proportional to 11,565.42, 15,960.15 and 6,849.78 is: 9,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.42 : 15,960.15 = 6,849.78 : x
  2. Step 2: Convert to fraction form
    11,565.42/15,960.15 = 6,849.78/x
  3. Step 3: Cross multiply
    11,565.42x = 15,960.15 × 6,849.78
  4. Step 4: Simplify right side
    11,565.42x = 109,323,516.27
  5. Step 5: Solve for x
    x = 109,323,516.27/11,565.42
  6. Step 6: Final answer
    x = 9,452.62

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