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Finding the Fourth Proportional to 10,797.78, 16,198.29 and 3,401.47

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Solution

The fourth proportional to 10,797.78, 16,198.29 and 3,401.47 is: 5,102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.78 : 16,198.29 = 3,401.47 : x
  2. Step 2: Convert to fraction form
    10,797.78/16,198.29 = 3,401.47/x
  3. Step 3: Cross multiply
    10,797.78x = 16,198.29 × 3,401.47
  4. Step 4: Simplify right side
    10,797.78x = 55,097,997.49
  5. Step 5: Solve for x
    x = 55,097,997.49/10,797.78
  6. Step 6: Final answer
    x = 5,102.72

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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.