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Finding the Fourth Proportional to 8,263.25, 12,389.49 and 2,997.28

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Solution

The fourth proportional to 8,263.25, 12,389.49 and 2,997.28 is: 4,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.25 : 12,389.49 = 2,997.28 : x
  2. Step 2: Convert to fraction form
    8,263.25/12,389.49 = 2,997.28/x
  3. Step 3: Cross multiply
    8,263.25x = 12,389.49 × 2,997.28
  4. Step 4: Simplify right side
    8,263.25x = 37,134,770.59
  5. Step 5: Solve for x
    x = 37,134,770.59/8,263.25
  6. Step 6: Final answer
    x = 4,493.97

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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.