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Finding the Fourth Proportional to 10,797, 16,196.13 and 3,401.70

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Solution

The fourth proportional to 10,797, 16,196.13 and 3,401.70 is: 5,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797 : 16,196.13 = 3,401.70 : x
  2. Step 2: Convert to fraction form
    10,797/16,196.13 = 3,401.70/x
  3. Step 3: Cross multiply
    10,797x = 16,196.13 × 3,401.70
  4. Step 4: Simplify right side
    10,797x = 55,094,375.42
  5. Step 5: Solve for x
    x = 55,094,375.42/10,797
  6. Step 6: Final answer
    x = 5,102.75

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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.