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Finding the Fourth Proportional to 11,940.14, 16,472.46 and 8,157.20

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Solution

The fourth proportional to 11,940.14, 16,472.46 and 8,157.20 is: 11,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.14 : 16,472.46 = 8,157.20 : x
  2. Step 2: Convert to fraction form
    11,940.14/16,472.46 = 8,157.20/x
  3. Step 3: Cross multiply
    11,940.14x = 16,472.46 × 8,157.20
  4. Step 4: Simplify right side
    11,940.14x = 134,369,150.71
  5. Step 5: Solve for x
    x = 134,369,150.71/11,940.14
  6. Step 6: Final answer
    x = 11,253.57

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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.