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Finding the Fourth Proportional to 10,796.68, 16,195.02 and 6,176.44

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Solution

The fourth proportional to 10,796.68, 16,195.02 and 6,176.44 is: 9,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.68 : 16,195.02 = 6,176.44 : x
  2. Step 2: Convert to fraction form
    10,796.68/16,195.02 = 6,176.44/x
  3. Step 3: Cross multiply
    10,796.68x = 16,195.02 × 6,176.44
  4. Step 4: Simplify right side
    10,796.68x = 100,027,528.84
  5. Step 5: Solve for x
    x = 100,027,528.84/10,796.68
  6. Step 6: Final answer
    x = 9,264.66

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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.