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Finding the Fourth Proportional to 7,806.42, 10,772.87 and 4,269.65

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Solution

The fourth proportional to 7,806.42, 10,772.87 and 4,269.65 is: 5,892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.42 : 10,772.87 = 4,269.65 : x
  2. Step 2: Convert to fraction form
    7,806.42/10,772.87 = 4,269.65/x
  3. Step 3: Cross multiply
    7,806.42x = 10,772.87 × 4,269.65
  4. Step 4: Simplify right side
    7,806.42x = 45,996,309.18
  5. Step 5: Solve for x
    x = 45,996,309.18/7,806.42
  6. Step 6: Final answer
    x = 5,892.11

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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.