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Finding the Fourth Proportional to 8,193.41, 12,290.70 and 2,649.36

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Solution

The fourth proportional to 8,193.41, 12,290.70 and 2,649.36 is: 3,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.41 : 12,290.70 = 2,649.36 : x
  2. Step 2: Convert to fraction form
    8,193.41/12,290.70 = 2,649.36/x
  3. Step 3: Cross multiply
    8,193.41x = 12,290.70 × 2,649.36
  4. Step 4: Simplify right side
    8,193.41x = 32,562,488.95
  5. Step 5: Solve for x
    x = 32,562,488.95/8,193.41
  6. Step 6: Final answer
    x = 3,974.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.