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Finding the Fourth Proportional to 34,857.64, 52,286.01 and 8,562.61

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Solution

The fourth proportional to 34,857.64, 52,286.01 and 8,562.61 is: 12,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,857.64 : 52,286.01 = 8,562.61 : x
  2. Step 2: Convert to fraction form
    34,857.64/52,286.01 = 8,562.61/x
  3. Step 3: Cross multiply
    34,857.64x = 52,286.01 × 8,562.61
  4. Step 4: Simplify right side
    34,857.64x = 447,704,745.33
  5. Step 5: Solve for x
    x = 447,704,745.33/34,857.64
  6. Step 6: Final answer
    x = 12,843.80

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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.