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Finding the Fourth Proportional to 10,453.41, 14,414.49 and 8,324.73

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Solution

The fourth proportional to 10,453.41, 14,414.49 and 8,324.73 is: 11,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.41 : 14,414.49 = 8,324.73 : x
  2. Step 2: Convert to fraction form
    10,453.41/14,414.49 = 8,324.73/x
  3. Step 3: Cross multiply
    10,453.41x = 14,414.49 × 8,324.73
  4. Step 4: Simplify right side
    10,453.41x = 119,996,737.34
  5. Step 5: Solve for x
    x = 119,996,737.34/10,453.41
  6. Step 6: Final answer
    x = 11,479.20

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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.