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Finding the Fourth Proportional to 11,302.33, 16,954.31 and 2,982.25

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Solution

The fourth proportional to 11,302.33, 16,954.31 and 2,982.25 is: 4,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.33 : 16,954.31 = 2,982.25 : x
  2. Step 2: Convert to fraction form
    11,302.33/16,954.31 = 2,982.25/x
  3. Step 3: Cross multiply
    11,302.33x = 16,954.31 × 2,982.25
  4. Step 4: Simplify right side
    11,302.33x = 50,561,933.70
  5. Step 5: Solve for x
    x = 50,561,933.70/11,302.33
  6. Step 6: Final answer
    x = 4,473.59

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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.