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Finding the Fourth Proportional to 11,593.92, 17,387.28 and 3,801

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Solution

The fourth proportional to 11,593.92, 17,387.28 and 3,801 is: 5,700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.92 : 17,387.28 = 3,801 : x
  2. Step 2: Convert to fraction form
    11,593.92/17,387.28 = 3,801/x
  3. Step 3: Cross multiply
    11,593.92x = 17,387.28 × 3,801
  4. Step 4: Simplify right side
    11,593.92x = 66,089,051.28
  5. Step 5: Solve for x
    x = 66,089,051.28/11,593.92
  6. Step 6: Final answer
    x = 5,700.32

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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.