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Finding the Fourth Proportional to 10,797.62, 16,196.42 and 6,177.38

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Solution

The fourth proportional to 10,797.62, 16,196.42 and 6,177.38 is: 9,266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.62 : 16,196.42 = 6,177.38 : x
  2. Step 2: Convert to fraction form
    10,797.62/16,196.42 = 6,177.38/x
  3. Step 3: Cross multiply
    10,797.62x = 16,196.42 × 6,177.38
  4. Step 4: Simplify right side
    10,797.62x = 100,051,375.44
  5. Step 5: Solve for x
    x = 100,051,375.44/10,797.62
  6. Step 6: Final answer
    x = 9,266.06

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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.