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Finding the Fourth Proportional to 11,833.44, 17,753.57 and 3,828.03

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Solution

The fourth proportional to 11,833.44, 17,753.57 and 3,828.03 is: 5,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.44 : 17,753.57 = 3,828.03 : x
  2. Step 2: Convert to fraction form
    11,833.44/17,753.57 = 3,828.03/x
  3. Step 3: Cross multiply
    11,833.44x = 17,753.57 × 3,828.03
  4. Step 4: Simplify right side
    11,833.44x = 67,961,090.66
  5. Step 5: Solve for x
    x = 67,961,090.66/11,833.44
  6. Step 6: Final answer
    x = 5,743.14

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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.