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Finding the Fourth Proportional to 7,812.46, 11,711.94 and 3,650.41

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Solution

The fourth proportional to 7,812.46, 11,711.94 and 3,650.41 is: 5,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.46 : 11,711.94 = 3,650.41 : x
  2. Step 2: Convert to fraction form
    7,812.46/11,711.94 = 3,650.41/x
  3. Step 3: Cross multiply
    7,812.46x = 11,711.94 × 3,650.41
  4. Step 4: Simplify right side
    7,812.46x = 42,753,382.90
  5. Step 5: Solve for x
    x = 42,753,382.90/7,812.46
  6. Step 6: Final answer
    x = 5,472.46

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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.