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Finding the Fourth Proportional to 8,193.04, 12,290.12 and 2,997.52

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Solution

The fourth proportional to 8,193.04, 12,290.12 and 2,997.52 is: 4,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.04 : 12,290.12 = 2,997.52 : x
  2. Step 2: Convert to fraction form
    8,193.04/12,290.12 = 2,997.52/x
  3. Step 3: Cross multiply
    8,193.04x = 12,290.12 × 2,997.52
  4. Step 4: Simplify right side
    8,193.04x = 36,839,880.50
  5. Step 5: Solve for x
    x = 36,839,880.50/8,193.04
  6. Step 6: Final answer
    x = 4,496.48

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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.