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Finding the Fourth Proportional to 6,585.74, 9,882.26 and 2,689.85

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Solution

The fourth proportional to 6,585.74, 9,882.26 and 2,689.85 is: 4,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.74 : 9,882.26 = 2,689.85 : x
  2. Step 2: Convert to fraction form
    6,585.74/9,882.26 = 2,689.85/x
  3. Step 3: Cross multiply
    6,585.74x = 9,882.26 × 2,689.85
  4. Step 4: Simplify right side
    6,585.74x = 26,581,747.65
  5. Step 5: Solve for x
    x = 26,581,747.65/6,585.74
  6. Step 6: Final answer
    x = 4,036.26

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