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Finding the Fourth Proportional to 7,749.92, 10,694.43 and 4,213.10

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Solution

The fourth proportional to 7,749.92, 10,694.43 and 4,213.10 is: 5,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.92 : 10,694.43 = 4,213.10 : x
  2. Step 2: Convert to fraction form
    7,749.92/10,694.43 = 4,213.10/x
  3. Step 3: Cross multiply
    7,749.92x = 10,694.43 × 4,213.10
  4. Step 4: Simplify right side
    7,749.92x = 45,056,729.77
  5. Step 5: Solve for x
    x = 45,056,729.77/7,749.92
  6. Step 6: Final answer
    x = 5,813.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.