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Finding the Fourth Proportional to 11,647.80, 17,474.01 and 3,327.89

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Solution

The fourth proportional to 11,647.80, 17,474.01 and 3,327.89 is: 4,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.80 : 17,474.01 = 3,327.89 : x
  2. Step 2: Convert to fraction form
    11,647.80/17,474.01 = 3,327.89/x
  3. Step 3: Cross multiply
    11,647.80x = 17,474.01 × 3,327.89
  4. Step 4: Simplify right side
    11,647.80x = 58,151,583.14
  5. Step 5: Solve for x
    x = 58,151,583.14/11,647.80
  6. Step 6: Final answer
    x = 4,992.49

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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.