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Finding the Fourth Proportional to 7,806.44, 11,711.82 and 3,126.80

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Solution

The fourth proportional to 7,806.44, 11,711.82 and 3,126.80 is: 4,691.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.44 : 11,711.82 = 3,126.80 : x
  2. Step 2: Convert to fraction form
    7,806.44/11,711.82 = 3,126.80/x
  3. Step 3: Cross multiply
    7,806.44x = 11,711.82 × 3,126.80
  4. Step 4: Simplify right side
    7,806.44x = 36,620,518.78
  5. Step 5: Solve for x
    x = 36,620,518.78/7,806.44
  6. Step 6: Final answer
    x = 4,691.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.