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Finding the Fourth Proportional to 11,902.45, 17,841.28 and 3,999.10

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Solution

The fourth proportional to 11,902.45, 17,841.28 and 3,999.10 is: 5,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.45 : 17,841.28 = 3,999.10 : x
  2. Step 2: Convert to fraction form
    11,902.45/17,841.28 = 3,999.10/x
  3. Step 3: Cross multiply
    11,902.45x = 17,841.28 × 3,999.10
  4. Step 4: Simplify right side
    11,902.45x = 71,349,062.85
  5. Step 5: Solve for x
    x = 71,349,062.85/11,902.45
  6. Step 6: Final answer
    x = 5,994.49

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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.