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Finding the Fourth Proportional to 11,938.58, 17,906.48 and 3,174.16

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Solution

The fourth proportional to 11,938.58, 17,906.48 and 3,174.16 is: 4,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.58 : 17,906.48 = 3,174.16 : x
  2. Step 2: Convert to fraction form
    11,938.58/17,906.48 = 3,174.16/x
  3. Step 3: Cross multiply
    11,938.58x = 17,906.48 × 3,174.16
  4. Step 4: Simplify right side
    11,938.58x = 56,838,032.56
  5. Step 5: Solve for x
    x = 56,838,032.56/11,938.58
  6. Step 6: Final answer
    x = 4,760.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.