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Finding the Fourth Proportional to 8,568.82, 12,824 and 7,183.72

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Solution

The fourth proportional to 8,568.82, 12,824 and 7,183.72 is: 10,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.82 : 12,824 = 7,183.72 : x
  2. Step 2: Convert to fraction form
    8,568.82/12,824 = 7,183.72/x
  3. Step 3: Cross multiply
    8,568.82x = 12,824 × 7,183.72
  4. Step 4: Simplify right side
    8,568.82x = 92,124,025.28
  5. Step 5: Solve for x
    x = 92,124,025.28/8,568.82
  6. Step 6: Final answer
    x = 10,751.07

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Why These Related Problems?

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