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Finding the Fourth Proportional to 11,205.89, 16,808.43 and 3,414.50

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Solution

The fourth proportional to 11,205.89, 16,808.43 and 3,414.50 is: 5,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.89 : 16,808.43 = 3,414.50 : x
  2. Step 2: Convert to fraction form
    11,205.89/16,808.43 = 3,414.50/x
  3. Step 3: Cross multiply
    11,205.89x = 16,808.43 × 3,414.50
  4. Step 4: Simplify right side
    11,205.89x = 57,392,384.24
  5. Step 5: Solve for x
    x = 57,392,384.24/11,205.89
  6. Step 6: Final answer
    x = 5,121.63

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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.