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Finding the Fourth Proportional to 8,424.44, 12,635.14 and 2,267

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Solution

The fourth proportional to 8,424.44, 12,635.14 and 2,267 is: 3,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.44 : 12,635.14 = 2,267 : x
  2. Step 2: Convert to fraction form
    8,424.44/12,635.14 = 2,267/x
  3. Step 3: Cross multiply
    8,424.44x = 12,635.14 × 2,267
  4. Step 4: Simplify right side
    8,424.44x = 28,643,862.38
  5. Step 5: Solve for x
    x = 28,643,862.38/8,424.44
  6. Step 6: Final answer
    x = 3,400.09

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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.