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Finding the Fourth Proportional to 8,294.96, 12,445.86 and 3,363.36

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Solution

The fourth proportional to 8,294.96, 12,445.86 and 3,363.36 is: 5,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.96 : 12,445.86 = 3,363.36 : x
  2. Step 2: Convert to fraction form
    8,294.96/12,445.86 = 3,363.36/x
  3. Step 3: Cross multiply
    8,294.96x = 12,445.86 × 3,363.36
  4. Step 4: Simplify right side
    8,294.96x = 41,859,907.69
  5. Step 5: Solve for x
    x = 41,859,907.69/8,294.96
  6. Step 6: Final answer
    x = 5,046.43

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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.