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Finding the Fourth Proportional to 8,197.03, 12,294.48 and 2,649.82

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Solution

The fourth proportional to 8,197.03, 12,294.48 and 2,649.82 is: 3,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.03 : 12,294.48 = 2,649.82 : x
  2. Step 2: Convert to fraction form
    8,197.03/12,294.48 = 2,649.82/x
  3. Step 3: Cross multiply
    8,197.03x = 12,294.48 × 2,649.82
  4. Step 4: Simplify right side
    8,197.03x = 32,578,158.99
  5. Step 5: Solve for x
    x = 32,578,158.99/8,197.03
  6. Step 6: Final answer
    x = 3,974.39

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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.