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Finding the Fourth Proportional to 8,212.93, 12,321.33 and 2,665.85

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Solution

The fourth proportional to 8,212.93, 12,321.33 and 2,665.85 is: 3,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.93 : 12,321.33 = 2,665.85 : x
  2. Step 2: Convert to fraction form
    8,212.93/12,321.33 = 2,665.85/x
  3. Step 3: Cross multiply
    8,212.93x = 12,321.33 × 2,665.85
  4. Step 4: Simplify right side
    8,212.93x = 32,846,795.63
  5. Step 5: Solve for x
    x = 32,846,795.63/8,212.93
  6. Step 6: Final answer
    x = 3,999.40

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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.