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Finding the Fourth Proportional to 8,196.65, 12,296.37 and 2,649.32

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Solution

The fourth proportional to 8,196.65, 12,296.37 and 2,649.32 is: 3,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.65 : 12,296.37 = 2,649.32 : x
  2. Step 2: Convert to fraction form
    8,196.65/12,296.37 = 2,649.32/x
  3. Step 3: Cross multiply
    8,196.65x = 12,296.37 × 2,649.32
  4. Step 4: Simplify right side
    8,196.65x = 32,577,018.97
  5. Step 5: Solve for x
    x = 32,577,018.97/8,196.65
  6. Step 6: Final answer
    x = 3,974.43

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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.