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Finding the Fourth Proportional to 8,175.50, 12,265.02 and 3,245.03

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Solution

The fourth proportional to 8,175.50, 12,265.02 and 3,245.03 is: 4,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.50 : 12,265.02 = 3,245.03 : x
  2. Step 2: Convert to fraction form
    8,175.50/12,265.02 = 3,245.03/x
  3. Step 3: Cross multiply
    8,175.50x = 12,265.02 × 3,245.03
  4. Step 4: Simplify right side
    8,175.50x = 39,800,296.53
  5. Step 5: Solve for x
    x = 39,800,296.53/8,175.50
  6. Step 6: Final answer
    x = 4,868.24

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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.