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Finding the Fourth Proportional to 11,838.96, 17,753.38 and 4,438.29

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Solution

The fourth proportional to 11,838.96, 17,753.38 and 4,438.29 is: 6,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.96 : 17,753.38 = 4,438.29 : x
  2. Step 2: Convert to fraction form
    11,838.96/17,753.38 = 4,438.29/x
  3. Step 3: Cross multiply
    11,838.96x = 17,753.38 × 4,438.29
  4. Step 4: Simplify right side
    11,838.96x = 78,794,704.40
  5. Step 5: Solve for x
    x = 78,794,704.40/11,838.96
  6. Step 6: Final answer
    x = 6,655.54

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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.