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Finding the Fourth Proportional to 11,833.67, 17,753.34 and 4,042.28

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Solution

The fourth proportional to 11,833.67, 17,753.34 and 4,042.28 is: 6,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.67 : 17,753.34 = 4,042.28 : x
  2. Step 2: Convert to fraction form
    11,833.67/17,753.34 = 4,042.28/x
  3. Step 3: Cross multiply
    11,833.67x = 17,753.34 × 4,042.28
  4. Step 4: Simplify right side
    11,833.67x = 71,763,971.22
  5. Step 5: Solve for x
    x = 71,763,971.22/11,833.67
  6. Step 6: Final answer
    x = 6,064.39

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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.