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Finding the Fourth Proportional to 11,616.89, 17,426 and 3,296.25

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Solution

The fourth proportional to 11,616.89, 17,426 and 3,296.25 is: 4,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.89 : 17,426 = 3,296.25 : x
  2. Step 2: Convert to fraction form
    11,616.89/17,426 = 3,296.25/x
  3. Step 3: Cross multiply
    11,616.89x = 17,426 × 3,296.25
  4. Step 4: Simplify right side
    11,616.89x = 57,440,452.50
  5. Step 5: Solve for x
    x = 57,440,452.50/11,616.89
  6. Step 6: Final answer
    x = 4,944.56

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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.