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Finding the Fourth Proportional to 11,734.50, 17,602.43 and 5,736.13

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Solution

The fourth proportional to 11,734.50, 17,602.43 and 5,736.13 is: 8,604.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.50 : 17,602.43 = 5,736.13 : x
  2. Step 2: Convert to fraction form
    11,734.50/17,602.43 = 5,736.13/x
  3. Step 3: Cross multiply
    11,734.50x = 17,602.43 × 5,736.13
  4. Step 4: Simplify right side
    11,734.50x = 100,969,826.80
  5. Step 5: Solve for x
    x = 100,969,826.80/11,734.50
  6. Step 6: Final answer
    x = 8,604.53

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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.