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Finding the Fourth Proportional to 8,488.50, 12,735.99 and 3,294.78

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Solution

The fourth proportional to 8,488.50, 12,735.99 and 3,294.78 is: 4,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.50 : 12,735.99 = 3,294.78 : x
  2. Step 2: Convert to fraction form
    8,488.50/12,735.99 = 3,294.78/x
  3. Step 3: Cross multiply
    8,488.50x = 12,735.99 × 3,294.78
  4. Step 4: Simplify right side
    8,488.50x = 41,962,285.13
  5. Step 5: Solve for x
    x = 41,962,285.13/8,488.50
  6. Step 6: Final answer
    x = 4,943.43

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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.