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Finding the Fourth Proportional to 11,932.45, 16,472.95 and 8,411.38

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Solution

The fourth proportional to 11,932.45, 16,472.95 and 8,411.38 is: 11,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.45 : 16,472.95 = 8,411.38 : x
  2. Step 2: Convert to fraction form
    11,932.45/16,472.95 = 8,411.38/x
  3. Step 3: Cross multiply
    11,932.45x = 16,472.95 × 8,411.38
  4. Step 4: Simplify right side
    11,932.45x = 138,560,179.96
  5. Step 5: Solve for x
    x = 138,560,179.96/11,932.45
  6. Step 6: Final answer
    x = 11,612.05

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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.