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Finding the Fourth Proportional to 8,143.83, 12,215.86 and 3,213.42

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Solution

The fourth proportional to 8,143.83, 12,215.86 and 3,213.42 is: 4,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.83 : 12,215.86 = 3,213.42 : x
  2. Step 2: Convert to fraction form
    8,143.83/12,215.86 = 3,213.42/x
  3. Step 3: Cross multiply
    8,143.83x = 12,215.86 × 3,213.42
  4. Step 4: Simplify right side
    8,143.83x = 39,254,721.79
  5. Step 5: Solve for x
    x = 39,254,721.79/8,143.83
  6. Step 6: Final answer
    x = 4,820.18

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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.