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Finding the Fourth Proportional to 7,756.92, 11,634.12 and 2,491.68

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Solution

The fourth proportional to 7,756.92, 11,634.12 and 2,491.68 is: 3,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.92 : 11,634.12 = 2,491.68 : x
  2. Step 2: Convert to fraction form
    7,756.92/11,634.12 = 2,491.68/x
  3. Step 3: Cross multiply
    7,756.92x = 11,634.12 × 2,491.68
  4. Step 4: Simplify right side
    7,756.92x = 28,988,504.12
  5. Step 5: Solve for x
    x = 28,988,504.12/7,756.92
  6. Step 6: Final answer
    x = 3,737.12

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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.