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Finding the Fourth Proportional to 7,806.49, 10,772.97 and 4,269.70

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Solution

The fourth proportional to 7,806.49, 10,772.97 and 4,269.70 is: 5,892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.49 : 10,772.97 = 4,269.70 : x
  2. Step 2: Convert to fraction form
    7,806.49/10,772.97 = 4,269.70/x
  3. Step 3: Cross multiply
    7,806.49x = 10,772.97 × 4,269.70
  4. Step 4: Simplify right side
    7,806.49x = 45,997,350.01
  5. Step 5: Solve for x
    x = 45,997,350.01/7,806.49
  6. Step 6: Final answer
    x = 5,892.19

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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.