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Finding the Fourth Proportional to 12,052.78, 16,634.82 and 8,272.83

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Solution

The fourth proportional to 12,052.78, 16,634.82 and 8,272.83 is: 11,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.78 : 16,634.82 = 8,272.83 : x
  2. Step 2: Convert to fraction form
    12,052.78/16,634.82 = 8,272.83/x
  3. Step 3: Cross multiply
    12,052.78x = 16,634.82 × 8,272.83
  4. Step 4: Simplify right side
    12,052.78x = 137,617,037.94
  5. Step 5: Solve for x
    x = 137,617,037.94/12,052.78
  6. Step 6: Final answer
    x = 11,417.87

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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.