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Finding the Fourth Proportional to 7,837.92, 10,812.24 and 4,852.80

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Solution

The fourth proportional to 7,837.92, 10,812.24 and 4,852.80 is: 6,694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.92 : 10,812.24 = 4,852.80 : x
  2. Step 2: Convert to fraction form
    7,837.92/10,812.24 = 4,852.80/x
  3. Step 3: Cross multiply
    7,837.92x = 10,812.24 × 4,852.80
  4. Step 4: Simplify right side
    7,837.92x = 52,469,638.27
  5. Step 5: Solve for x
    x = 52,469,638.27/7,837.92
  6. Step 6: Final answer
    x = 6,694.33

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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.