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Finding the Fourth Proportional to 8,371.76, 12,548.91 and 2,823.20

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Solution

The fourth proportional to 8,371.76, 12,548.91 and 2,823.20 is: 4,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.76 : 12,548.91 = 2,823.20 : x
  2. Step 2: Convert to fraction form
    8,371.76/12,548.91 = 2,823.20/x
  3. Step 3: Cross multiply
    8,371.76x = 12,548.91 × 2,823.20
  4. Step 4: Simplify right side
    8,371.76x = 35,428,061.73
  5. Step 5: Solve for x
    x = 35,428,061.73/8,371.76
  6. Step 6: Final answer
    x = 4,231.85

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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.