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Finding the Fourth Proportional to 11,297.70, 16,949.24 and 3,902.22

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Solution

The fourth proportional to 11,297.70, 16,949.24 and 3,902.22 is: 5,854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.70 : 16,949.24 = 3,902.22 : x
  2. Step 2: Convert to fraction form
    11,297.70/16,949.24 = 3,902.22/x
  3. Step 3: Cross multiply
    11,297.70x = 16,949.24 × 3,902.22
  4. Step 4: Simplify right side
    11,297.70x = 66,139,663.31
  5. Step 5: Solve for x
    x = 66,139,663.31/11,297.70
  6. Step 6: Final answer
    x = 5,854.26

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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.