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Finding the Fourth Proportional to 8,576.25, 12,865.29 and 2,731.49

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Solution

The fourth proportional to 8,576.25, 12,865.29 and 2,731.49 is: 4,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.25 : 12,865.29 = 2,731.49 : x
  2. Step 2: Convert to fraction form
    8,576.25/12,865.29 = 2,731.49/x
  3. Step 3: Cross multiply
    8,576.25x = 12,865.29 × 2,731.49
  4. Step 4: Simplify right side
    8,576.25x = 35,141,410.98
  5. Step 5: Solve for x
    x = 35,141,410.98/8,576.25
  6. Step 6: Final answer
    x = 4,097.53

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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.