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Finding the Fourth Proportional to 11,761.12, 17,638.32 and 4,834

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Solution

The fourth proportional to 11,761.12, 17,638.32 and 4,834 is: 7,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.12 : 17,638.32 = 4,834 : x
  2. Step 2: Convert to fraction form
    11,761.12/17,638.32 = 4,834/x
  3. Step 3: Cross multiply
    11,761.12x = 17,638.32 × 4,834
  4. Step 4: Simplify right side
    11,761.12x = 85,263,638.88
  5. Step 5: Solve for x
    x = 85,263,638.88/11,761.12
  6. Step 6: Final answer
    x = 7,249.62

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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.