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Finding the Fourth Proportional to 11,944.10, 16,482.84 and 6,639.41

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Solution

The fourth proportional to 11,944.10, 16,482.84 and 6,639.41 is: 9,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.10 : 16,482.84 = 6,639.41 : x
  2. Step 2: Convert to fraction form
    11,944.10/16,482.84 = 6,639.41/x
  3. Step 3: Cross multiply
    11,944.10x = 16,482.84 × 6,639.41
  4. Step 4: Simplify right side
    11,944.10x = 109,436,332.72
  5. Step 5: Solve for x
    x = 109,436,332.72/11,944.10
  6. Step 6: Final answer
    x = 9,162.38

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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.