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Finding the Fourth Proportional to 8,576.46, 12,865.60 and 2,731.70

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Solution

The fourth proportional to 8,576.46, 12,865.60 and 2,731.70 is: 4,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.46 : 12,865.60 = 2,731.70 : x
  2. Step 2: Convert to fraction form
    8,576.46/12,865.60 = 2,731.70/x
  3. Step 3: Cross multiply
    8,576.46x = 12,865.60 × 2,731.70
  4. Step 4: Simplify right side
    8,576.46x = 35,144,959.52
  5. Step 5: Solve for x
    x = 35,144,959.52/8,576.46
  6. Step 6: Final answer
    x = 4,097.84

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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.