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Finding the Fourth Proportional to 8,704.94, 12,022.71 and 5,867.42

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Solution

The fourth proportional to 8,704.94, 12,022.71 and 5,867.42 is: 8,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,704.94 : 12,022.71 = 5,867.42 : x
  2. Step 2: Convert to fraction form
    8,704.94/12,022.71 = 5,867.42/x
  3. Step 3: Cross multiply
    8,704.94x = 12,022.71 × 5,867.42
  4. Step 4: Simplify right side
    8,704.94x = 70,542,289.11
  5. Step 5: Solve for x
    x = 70,542,289.11/8,704.94
  6. Step 6: Final answer
    x = 8,103.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.