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Finding the Fourth Proportional to 7,806.12, 10,772.46 and 4,269.40

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Solution

The fourth proportional to 7,806.12, 10,772.46 and 4,269.40 is: 5,891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.12 : 10,772.46 = 4,269.40 : x
  2. Step 2: Convert to fraction form
    7,806.12/10,772.46 = 4,269.40/x
  3. Step 3: Cross multiply
    7,806.12x = 10,772.46 × 4,269.40
  4. Step 4: Simplify right side
    7,806.12x = 45,991,940.72
  5. Step 5: Solve for x
    x = 45,991,940.72/7,806.12
  6. Step 6: Final answer
    x = 5,891.78

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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.