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Finding the Fourth Proportional to 8,239.82, 11,370.90 and 4,462.96

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Solution

The fourth proportional to 8,239.82, 11,370.90 and 4,462.96 is: 6,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.82 : 11,370.90 = 4,462.96 : x
  2. Step 2: Convert to fraction form
    8,239.82/11,370.90 = 4,462.96/x
  3. Step 3: Cross multiply
    8,239.82x = 11,370.90 × 4,462.96
  4. Step 4: Simplify right side
    8,239.82x = 50,747,871.86
  5. Step 5: Solve for x
    x = 50,747,871.86/8,239.82
  6. Step 6: Final answer
    x = 6,158.86

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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.