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Finding the Fourth Proportional to 11,905.44, 17,853.84 and 4,506.12

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Solution

The fourth proportional to 11,905.44, 17,853.84 and 4,506.12 is: 6,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.44 : 17,853.84 = 4,506.12 : x
  2. Step 2: Convert to fraction form
    11,905.44/17,853.84 = 4,506.12/x
  3. Step 3: Cross multiply
    11,905.44x = 17,853.84 × 4,506.12
  4. Step 4: Simplify right side
    11,905.44x = 80,451,545.50
  5. Step 5: Solve for x
    x = 80,451,545.50/11,905.44
  6. Step 6: Final answer
    x = 6,757.54

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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.