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Finding the Fourth Proportional to 11,906.46, 17,849.18 and 4,505.51

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Solution

The fourth proportional to 11,906.46, 17,849.18 and 4,505.51 is: 6,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.46 : 17,849.18 = 4,505.51 : x
  2. Step 2: Convert to fraction form
    11,906.46/17,849.18 = 4,505.51/x
  3. Step 3: Cross multiply
    11,906.46x = 17,849.18 × 4,505.51
  4. Step 4: Simplify right side
    11,906.46x = 80,419,714.87
  5. Step 5: Solve for x
    x = 80,419,714.87/11,906.46
  6. Step 6: Final answer
    x = 6,754.29

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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.