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Finding the Fourth Proportional to 11,935.53, 16,472.07 and 6,631.38

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Solution

The fourth proportional to 11,935.53, 16,472.07 and 6,631.38 is: 9,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,935.53 : 16,472.07 = 6,631.38 : x
  2. Step 2: Convert to fraction form
    11,935.53/16,472.07 = 6,631.38/x
  3. Step 3: Cross multiply
    11,935.53x = 16,472.07 × 6,631.38
  4. Step 4: Simplify right side
    11,935.53x = 109,232,555.56
  5. Step 5: Solve for x
    x = 109,232,555.56/11,935.53
  6. Step 6: Final answer
    x = 9,151.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.