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Finding the Fourth Proportional to 12,772, 17,625.36 and 7,183

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Solution

The fourth proportional to 12,772, 17,625.36 and 7,183 is: 9,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772 : 17,625.36 = 7,183 : x
  2. Step 2: Convert to fraction form
    12,772/17,625.36 = 7,183/x
  3. Step 3: Cross multiply
    12,772x = 17,625.36 × 7,183
  4. Step 4: Simplify right side
    12,772x = 126,602,960.88
  5. Step 5: Solve for x
    x = 126,602,960.88/12,772
  6. Step 6: Final answer
    x = 9,912.54

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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.