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Finding the Fourth Proportional to 11,630.97, 17,446.43 and 3,422.97

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Solution

The fourth proportional to 11,630.97, 17,446.43 and 3,422.97 is: 5,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.97 : 17,446.43 = 3,422.97 : x
  2. Step 2: Convert to fraction form
    11,630.97/17,446.43 = 3,422.97/x
  3. Step 3: Cross multiply
    11,630.97x = 17,446.43 × 3,422.97
  4. Step 4: Simplify right side
    11,630.97x = 59,718,615.05
  5. Step 5: Solve for x
    x = 59,718,615.05/11,630.97
  6. Step 6: Final answer
    x = 5,134.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.