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Finding the Fourth Proportional to 11,302.52, 16,951.84 and 2,982.62

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Solution

The fourth proportional to 11,302.52, 16,951.84 and 2,982.62 is: 4,473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.52 : 16,951.84 = 2,982.62 : x
  2. Step 2: Convert to fraction form
    11,302.52/16,951.84 = 2,982.62/x
  3. Step 3: Cross multiply
    11,302.52x = 16,951.84 × 2,982.62
  4. Step 4: Simplify right side
    11,302.52x = 50,560,897.02
  5. Step 5: Solve for x
    x = 50,560,897.02/11,302.52
  6. Step 6: Final answer
    x = 4,473.42

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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.