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Finding the Fourth Proportional to 11,920.46, 16,453.26 and 8,145.15

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Solution

The fourth proportional to 11,920.46, 16,453.26 and 8,145.15 is: 11,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.46 : 16,453.26 = 8,145.15 : x
  2. Step 2: Convert to fraction form
    11,920.46/16,453.26 = 8,145.15/x
  3. Step 3: Cross multiply
    11,920.46x = 16,453.26 × 8,145.15
  4. Step 4: Simplify right side
    11,920.46x = 134,014,270.69
  5. Step 5: Solve for x
    x = 134,014,270.69/11,920.46
  6. Step 6: Final answer
    x = 11,242.37

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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.