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Finding the Fourth Proportional to 8,448.75, 12,674.61 and 2,902.68

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Solution

The fourth proportional to 8,448.75, 12,674.61 and 2,902.68 is: 4,354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,448.75 : 12,674.61 = 2,902.68 : x
  2. Step 2: Convert to fraction form
    8,448.75/12,674.61 = 2,902.68/x
  3. Step 3: Cross multiply
    8,448.75x = 12,674.61 × 2,902.68
  4. Step 4: Simplify right side
    8,448.75x = 36,790,336.95
  5. Step 5: Solve for x
    x = 36,790,336.95/8,448.75
  6. Step 6: Final answer
    x = 4,354.53

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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.