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Finding the Fourth Proportional to 7,806.62, 10,772.94 and 4,269.80

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Solution

The fourth proportional to 7,806.62, 10,772.94 and 4,269.80 is: 5,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.62 : 10,772.94 = 4,269.80 : x
  2. Step 2: Convert to fraction form
    7,806.62/10,772.94 = 4,269.80/x
  3. Step 3: Cross multiply
    7,806.62x = 10,772.94 × 4,269.80
  4. Step 4: Simplify right side
    7,806.62x = 45,998,299.21
  5. Step 5: Solve for x
    x = 45,998,299.21/7,806.62
  6. Step 6: Final answer
    x = 5,892.22

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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.