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Finding the Fourth Proportional to 7,806.48, 10,772.76 and 4,269.60

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Solution

The fourth proportional to 7,806.48, 10,772.76 and 4,269.60 is: 5,891.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.48 : 10,772.76 = 4,269.60 : x
  2. Step 2: Convert to fraction form
    7,806.48/10,772.76 = 4,269.60/x
  3. Step 3: Cross multiply
    7,806.48x = 10,772.76 × 4,269.60
  4. Step 4: Simplify right side
    7,806.48x = 45,995,376.10
  5. Step 5: Solve for x
    x = 45,995,376.10/7,806.48
  6. Step 6: Final answer
    x = 5,891.95

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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.