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Finding the Fourth Proportional to 26,863.76, 40,286.11 and 7,883.10

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Solution

The fourth proportional to 26,863.76, 40,286.11 and 7,883.10 is: 11,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,863.76 : 40,286.11 = 7,883.10 : x
  2. Step 2: Convert to fraction form
    26,863.76/40,286.11 = 7,883.10/x
  3. Step 3: Cross multiply
    26,863.76x = 40,286.11 × 7,883.10
  4. Step 4: Simplify right side
    26,863.76x = 317,579,433.74
  5. Step 5: Solve for x
    x = 317,579,433.74/26,863.76
  6. Step 6: Final answer
    x = 11,821.85

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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.