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Finding the Fourth Proportional to 11,832.69, 17,752.44 and 3,827.28

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Solution

The fourth proportional to 11,832.69, 17,752.44 and 3,827.28 is: 5,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.69 : 17,752.44 = 3,827.28 : x
  2. Step 2: Convert to fraction form
    11,832.69/17,752.44 = 3,827.28/x
  3. Step 3: Cross multiply
    11,832.69x = 17,752.44 × 3,827.28
  4. Step 4: Simplify right side
    11,832.69x = 67,943,558.56
  5. Step 5: Solve for x
    x = 67,943,558.56/11,832.69
  6. Step 6: Final answer
    x = 5,742.02

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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.