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Finding the Fourth Proportional to 10,788.25, 16,159 and 5,229.97

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Solution

The fourth proportional to 10,788.25, 16,159 and 5,229.97 is: 7,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.25 : 16,159 = 5,229.97 : x
  2. Step 2: Convert to fraction form
    10,788.25/16,159 = 5,229.97/x
  3. Step 3: Cross multiply
    10,788.25x = 16,159 × 5,229.97
  4. Step 4: Simplify right side
    10,788.25x = 84,511,085.23
  5. Step 5: Solve for x
    x = 84,511,085.23/10,788.25
  6. Step 6: Final answer
    x = 7,833.62

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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.