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Finding the Fourth Proportional to 11,201.85, 16,805.19 and 3,410.46

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Solution

The fourth proportional to 11,201.85, 16,805.19 and 3,410.46 is: 5,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.85 : 16,805.19 = 3,410.46 : x
  2. Step 2: Convert to fraction form
    11,201.85/16,805.19 = 3,410.46/x
  3. Step 3: Cross multiply
    11,201.85x = 16,805.19 × 3,410.46
  4. Step 4: Simplify right side
    11,201.85x = 57,313,428.29
  5. Step 5: Solve for x
    x = 57,313,428.29/11,201.85
  6. Step 6: Final answer
    x = 5,116.43

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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.