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Finding the Fourth Proportional to 11,266.44, 16,902.54 and 5,109

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Solution

The fourth proportional to 11,266.44, 16,902.54 and 5,109 is: 7,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,266.44 : 16,902.54 = 5,109 : x
  2. Step 2: Convert to fraction form
    11,266.44/16,902.54 = 5,109/x
  3. Step 3: Cross multiply
    11,266.44x = 16,902.54 × 5,109
  4. Step 4: Simplify right side
    11,266.44x = 86,355,076.86
  5. Step 5: Solve for x
    x = 86,355,076.86/11,266.44
  6. Step 6: Final answer
    x = 7,664.81

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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.