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Finding the Fourth Proportional to 8,502.98, 12,755.32 and 2,262.99

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Solution

The fourth proportional to 8,502.98, 12,755.32 and 2,262.99 is: 3,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.98 : 12,755.32 = 2,262.99 : x
  2. Step 2: Convert to fraction form
    8,502.98/12,755.32 = 2,262.99/x
  3. Step 3: Cross multiply
    8,502.98x = 12,755.32 × 2,262.99
  4. Step 4: Simplify right side
    8,502.98x = 28,865,144.76
  5. Step 5: Solve for x
    x = 28,865,144.76/8,502.98
  6. Step 6: Final answer
    x = 3,394.71

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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.