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Finding the Fourth Proportional to 11,938.16, 17,906.02 and 3,173.96

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Solution

The fourth proportional to 11,938.16, 17,906.02 and 3,173.96 is: 4,760.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.16 : 17,906.02 = 3,173.96 : x
  2. Step 2: Convert to fraction form
    11,938.16/17,906.02 = 3,173.96/x
  3. Step 3: Cross multiply
    11,938.16x = 17,906.02 × 3,173.96
  4. Step 4: Simplify right side
    11,938.16x = 56,832,991.24
  5. Step 5: Solve for x
    x = 56,832,991.24/11,938.16
  6. Step 6: Final answer
    x = 4,760.62

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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.