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Finding the Fourth Proportional to 11,379.84, 15,704.03 and 6,343.97

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Solution

The fourth proportional to 11,379.84, 15,704.03 and 6,343.97 is: 8,754.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379.84 : 15,704.03 = 6,343.97 : x
  2. Step 2: Convert to fraction form
    11,379.84/15,704.03 = 6,343.97/x
  3. Step 3: Cross multiply
    11,379.84x = 15,704.03 × 6,343.97
  4. Step 4: Simplify right side
    11,379.84x = 99,625,784.96
  5. Step 5: Solve for x
    x = 99,625,784.96/11,379.84
  6. Step 6: Final answer
    x = 8,754.59

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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.