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Finding the Fourth Proportional to 8,175.50, 12,263.44 and 2,019.50

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Solution

The fourth proportional to 8,175.50, 12,263.44 and 2,019.50 is: 3,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.50 : 12,263.44 = 2,019.50 : x
  2. Step 2: Convert to fraction form
    8,175.50/12,263.44 = 2,019.50/x
  3. Step 3: Cross multiply
    8,175.50x = 12,263.44 × 2,019.50
  4. Step 4: Simplify right side
    8,175.50x = 24,766,017.08
  5. Step 5: Solve for x
    x = 24,766,017.08/8,175.50
  6. Step 6: Final answer
    x = 3,029.30

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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.