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Finding the Fourth Proportional to 11,792.97, 17,689.05 and 3,027.96

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Solution

The fourth proportional to 11,792.97, 17,689.05 and 3,027.96 is: 4,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.97 : 17,689.05 = 3,027.96 : x
  2. Step 2: Convert to fraction form
    11,792.97/17,689.05 = 3,027.96/x
  3. Step 3: Cross multiply
    11,792.97x = 17,689.05 × 3,027.96
  4. Step 4: Simplify right side
    11,792.97x = 53,561,735.84
  5. Step 5: Solve for x
    x = 53,561,735.84/11,792.97
  6. Step 6: Final answer
    x = 4,541.84

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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.