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Finding the Fourth Proportional to 8,213.04, 12,321.29 and 2,665.95

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Solution

The fourth proportional to 8,213.04, 12,321.29 and 2,665.95 is: 3,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.04 : 12,321.29 = 2,665.95 : x
  2. Step 2: Convert to fraction form
    8,213.04/12,321.29 = 2,665.95/x
  3. Step 3: Cross multiply
    8,213.04x = 12,321.29 × 2,665.95
  4. Step 4: Simplify right side
    8,213.04x = 32,847,929.75
  5. Step 5: Solve for x
    x = 32,847,929.75/8,213.04
  6. Step 6: Final answer
    x = 3,999.48

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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.