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Finding the Fourth Proportional to 8,126.76, 11,213.82 and 4,982.28

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Solution

The fourth proportional to 8,126.76, 11,213.82 and 4,982.28 is: 6,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.76 : 11,213.82 = 4,982.28 : x
  2. Step 2: Convert to fraction form
    8,126.76/11,213.82 = 4,982.28/x
  3. Step 3: Cross multiply
    8,126.76x = 11,213.82 × 4,982.28
  4. Step 4: Simplify right side
    8,126.76x = 55,870,391.11
  5. Step 5: Solve for x
    x = 55,870,391.11/8,126.76
  6. Step 6: Final answer
    x = 6,874.87

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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.