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Finding the Fourth Proportional to 12,052.59, 16,634.22 and 7,272.78

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Solution

The fourth proportional to 12,052.59, 16,634.22 and 7,272.78 is: 10,037.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.59 : 16,634.22 = 7,272.78 : x
  2. Step 2: Convert to fraction form
    12,052.59/16,634.22 = 7,272.78/x
  3. Step 3: Cross multiply
    12,052.59x = 16,634.22 × 7,272.78
  4. Step 4: Simplify right side
    12,052.59x = 120,977,022.53
  5. Step 5: Solve for x
    x = 120,977,022.53/12,052.59
  6. Step 6: Final answer
    x = 10,037.43

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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.