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Finding the Fourth Proportional to 10,450.92, 15,668.70 and 5,251.56

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Solution

The fourth proportional to 10,450.92, 15,668.70 and 5,251.56 is: 7,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.92 : 15,668.70 = 5,251.56 : x
  2. Step 2: Convert to fraction form
    10,450.92/15,668.70 = 5,251.56/x
  3. Step 3: Cross multiply
    10,450.92x = 15,668.70 × 5,251.56
  4. Step 4: Simplify right side
    10,450.92x = 82,285,118.17
  5. Step 5: Solve for x
    x = 82,285,118.17/10,450.92
  6. Step 6: Final answer
    x = 7,873.48

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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.