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Finding the Fourth Proportional to 10,704.76, 16,057.86 and 4,131

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Solution

The fourth proportional to 10,704.76, 16,057.86 and 4,131 is: 6,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.76 : 16,057.86 = 4,131 : x
  2. Step 2: Convert to fraction form
    10,704.76/16,057.86 = 4,131/x
  3. Step 3: Cross multiply
    10,704.76x = 16,057.86 × 4,131
  4. Step 4: Simplify right side
    10,704.76x = 66,335,019.66
  5. Step 5: Solve for x
    x = 66,335,019.66/10,704.76
  6. Step 6: Final answer
    x = 6,196.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.