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Finding the Fourth Proportional to 8,031.28, 11,083.86 and 4,494.44

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Solution

The fourth proportional to 8,031.28, 11,083.86 and 4,494.44 is: 6,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.28 : 11,083.86 = 4,494.44 : x
  2. Step 2: Convert to fraction form
    8,031.28/11,083.86 = 4,494.44/x
  3. Step 3: Cross multiply
    8,031.28x = 11,083.86 × 4,494.44
  4. Step 4: Simplify right side
    8,031.28x = 49,815,743.74
  5. Step 5: Solve for x
    x = 49,815,743.74/8,031.28
  6. Step 6: Final answer
    x = 6,202.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.