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Finding the Fourth Proportional to 8,176.50, 12,266.67 and 2,704.50

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Solution

The fourth proportional to 8,176.50, 12,266.67 and 2,704.50 is: 4,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.50 : 12,266.67 = 2,704.50 : x
  2. Step 2: Convert to fraction form
    8,176.50/12,266.67 = 2,704.50/x
  3. Step 3: Cross multiply
    8,176.50x = 12,266.67 × 2,704.50
  4. Step 4: Simplify right side
    8,176.50x = 33,175,209.02
  5. Step 5: Solve for x
    x = 33,175,209.02/8,176.50
  6. Step 6: Final answer
    x = 4,057.39

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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.