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Finding the Fourth Proportional to 8,574.54, 12,861.67 and 2,731.07

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Solution

The fourth proportional to 8,574.54, 12,861.67 and 2,731.07 is: 4,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.54 : 12,861.67 = 2,731.07 : x
  2. Step 2: Convert to fraction form
    8,574.54/12,861.67 = 2,731.07/x
  3. Step 3: Cross multiply
    8,574.54x = 12,861.67 × 2,731.07
  4. Step 4: Simplify right side
    8,574.54x = 35,126,121.09
  5. Step 5: Solve for x
    x = 35,126,121.09/8,574.54
  6. Step 6: Final answer
    x = 4,096.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.