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Finding the Fourth Proportional to 8,217.54, 12,329.36 and 5,896.08

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Solution

The fourth proportional to 8,217.54, 12,329.36 and 5,896.08 is: 8,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.54 : 12,329.36 = 5,896.08 : x
  2. Step 2: Convert to fraction form
    8,217.54/12,329.36 = 5,896.08/x
  3. Step 3: Cross multiply
    8,217.54x = 12,329.36 × 5,896.08
  4. Step 4: Simplify right side
    8,217.54x = 72,694,863.43
  5. Step 5: Solve for x
    x = 72,694,863.43/8,217.54
  6. Step 6: Final answer
    x = 8,846.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.