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Finding the Fourth Proportional to 11,446.36, 17,161.44 and 4,420.42

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Solution

The fourth proportional to 11,446.36, 17,161.44 and 4,420.42 is: 6,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.36 : 17,161.44 = 4,420.42 : x
  2. Step 2: Convert to fraction form
    11,446.36/17,161.44 = 4,420.42/x
  3. Step 3: Cross multiply
    11,446.36x = 17,161.44 × 4,420.42
  4. Step 4: Simplify right side
    11,446.36x = 75,860,772.60
  5. Step 5: Solve for x
    x = 75,860,772.60/11,446.36
  6. Step 6: Final answer
    x = 6,627.50

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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.