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Finding the Fourth Proportional to 11,371.56, 17,057.22 and 4,446

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Solution

The fourth proportional to 11,371.56, 17,057.22 and 4,446 is: 6,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,371.56 : 17,057.22 = 4,446 : x
  2. Step 2: Convert to fraction form
    11,371.56/17,057.22 = 4,446/x
  3. Step 3: Cross multiply
    11,371.56x = 17,057.22 × 4,446
  4. Step 4: Simplify right side
    11,371.56x = 75,836,400.12
  5. Step 5: Solve for x
    x = 75,836,400.12/11,371.56
  6. Step 6: Final answer
    x = 6,668.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.