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Finding the Fourth Proportional to 8,144.35, 12,218.07 and 2,806.11

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Solution

The fourth proportional to 8,144.35, 12,218.07 and 2,806.11 is: 4,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.35 : 12,218.07 = 2,806.11 : x
  2. Step 2: Convert to fraction form
    8,144.35/12,218.07 = 2,806.11/x
  3. Step 3: Cross multiply
    8,144.35x = 12,218.07 × 2,806.11
  4. Step 4: Simplify right side
    8,144.35x = 34,285,248.41
  5. Step 5: Solve for x
    x = 34,285,248.41/8,144.35
  6. Step 6: Final answer
    x = 4,209.70

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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.