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Finding the Fourth Proportional to 11,472.94, 15,832.67 and 6,436.46

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Solution

The fourth proportional to 11,472.94, 15,832.67 and 6,436.46 is: 8,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.94 : 15,832.67 = 6,436.46 : x
  2. Step 2: Convert to fraction form
    11,472.94/15,832.67 = 6,436.46/x
  3. Step 3: Cross multiply
    11,472.94x = 15,832.67 × 6,436.46
  4. Step 4: Simplify right side
    11,472.94x = 101,906,354.55
  5. Step 5: Solve for x
    x = 101,906,354.55/11,472.94
  6. Step 6: Final answer
    x = 8,882.32

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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.