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Finding the Fourth Proportional to 11,711.32, 16,161.06 and 6,405.82

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Solution

The fourth proportional to 11,711.32, 16,161.06 and 6,405.82 is: 8,839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.32 : 16,161.06 = 6,405.82 : x
  2. Step 2: Convert to fraction form
    11,711.32/16,161.06 = 6,405.82/x
  3. Step 3: Cross multiply
    11,711.32x = 16,161.06 × 6,405.82
  4. Step 4: Simplify right side
    11,711.32x = 103,524,841.37
  5. Step 5: Solve for x
    x = 103,524,841.37/11,711.32
  6. Step 6: Final answer
    x = 8,839.72

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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.