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Finding the Fourth Proportional to 11,649.28, 17,474 and 3,329.24

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Solution

The fourth proportional to 11,649.28, 17,474 and 3,329.24 is: 4,993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.28 : 17,474 = 3,329.24 : x
  2. Step 2: Convert to fraction form
    11,649.28/17,474 = 3,329.24/x
  3. Step 3: Cross multiply
    11,649.28x = 17,474 × 3,329.24
  4. Step 4: Simplify right side
    11,649.28x = 58,175,139.76
  5. Step 5: Solve for x
    x = 58,175,139.76/11,649.28
  6. Step 6: Final answer
    x = 4,993.88

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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.