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Finding the Fourth Proportional to 8,552.75, 12,829.49 and 2,709.23

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Solution

The fourth proportional to 8,552.75, 12,829.49 and 2,709.23 is: 4,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,552.75 : 12,829.49 = 2,709.23 : x
  2. Step 2: Convert to fraction form
    8,552.75/12,829.49 = 2,709.23/x
  3. Step 3: Cross multiply
    8,552.75x = 12,829.49 × 2,709.23
  4. Step 4: Simplify right side
    8,552.75x = 34,758,078.04
  5. Step 5: Solve for x
    x = 34,758,078.04/8,552.75
  6. Step 6: Final answer
    x = 4,063.96

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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.