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Finding the Fourth Proportional to 10,995.50, 16,493.70 and 3,204.32

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Solution

The fourth proportional to 10,995.50, 16,493.70 and 3,204.32 is: 4,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,995.50 : 16,493.70 = 3,204.32 : x
  2. Step 2: Convert to fraction form
    10,995.50/16,493.70 = 3,204.32/x
  3. Step 3: Cross multiply
    10,995.50x = 16,493.70 × 3,204.32
  4. Step 4: Simplify right side
    10,995.50x = 52,851,092.78
  5. Step 5: Solve for x
    x = 52,851,092.78/10,995.50
  6. Step 6: Final answer
    x = 4,806.61

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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.