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Finding the Fourth Proportional to 8,509.05, 12,758.58 and 2,584.17

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Solution

The fourth proportional to 8,509.05, 12,758.58 and 2,584.17 is: 3,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.05 : 12,758.58 = 2,584.17 : x
  2. Step 2: Convert to fraction form
    8,509.05/12,758.58 = 2,584.17/x
  3. Step 3: Cross multiply
    8,509.05x = 12,758.58 × 2,584.17
  4. Step 4: Simplify right side
    8,509.05x = 32,970,339.68
  5. Step 5: Solve for x
    x = 32,970,339.68/8,509.05
  6. Step 6: Final answer
    x = 3,874.74

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