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Finding the Fourth Proportional to 8,416.49, 12,627.97 and 3,221.15

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Solution

The fourth proportional to 8,416.49, 12,627.97 and 3,221.15 is: 4,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.49 : 12,627.97 = 3,221.15 : x
  2. Step 2: Convert to fraction form
    8,416.49/12,627.97 = 3,221.15/x
  3. Step 3: Cross multiply
    8,416.49x = 12,627.97 × 3,221.15
  4. Step 4: Simplify right side
    8,416.49x = 40,676,514.37
  5. Step 5: Solve for x
    x = 40,676,514.37/8,416.49
  6. Step 6: Final answer
    x = 4,832.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.