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Finding the Fourth Proportional to 11,761.44, 17,631 and 4,363.98

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Solution

The fourth proportional to 11,761.44, 17,631 and 4,363.98 is: 6,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.44 : 17,631 = 4,363.98 : x
  2. Step 2: Convert to fraction form
    11,761.44/17,631 = 4,363.98/x
  3. Step 3: Cross multiply
    11,761.44x = 17,631 × 4,363.98
  4. Step 4: Simplify right side
    11,761.44x = 76,941,331.38
  5. Step 5: Solve for x
    x = 76,941,331.38/11,761.44
  6. Step 6: Final answer
    x = 6,541.83

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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.