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Finding the Fourth Proportional to 8,228.28, 12,343.70 and 2,755

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Solution

The fourth proportional to 8,228.28, 12,343.70 and 2,755 is: 4,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.28 : 12,343.70 = 2,755 : x
  2. Step 2: Convert to fraction form
    8,228.28/12,343.70 = 2,755/x
  3. Step 3: Cross multiply
    8,228.28x = 12,343.70 × 2,755
  4. Step 4: Simplify right side
    8,228.28x = 34,006,893.50
  5. Step 5: Solve for x
    x = 34,006,893.50/8,228.28
  6. Step 6: Final answer
    x = 4,132.93

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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.