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Finding the Fourth Proportional to 8,271.50, 12,404.57 and 2,723.54

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Solution

The fourth proportional to 8,271.50, 12,404.57 and 2,723.54 is: 4,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.50 : 12,404.57 = 2,723.54 : x
  2. Step 2: Convert to fraction form
    8,271.50/12,404.57 = 2,723.54/x
  3. Step 3: Cross multiply
    8,271.50x = 12,404.57 × 2,723.54
  4. Step 4: Simplify right side
    8,271.50x = 33,784,266.94
  5. Step 5: Solve for x
    x = 33,784,266.94/8,271.50
  6. Step 6: Final answer
    x = 4,084.42

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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.