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Finding the Fourth Proportional to 8,061, 12,090.96 and 2,217.66

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Solution

The fourth proportional to 8,061, 12,090.96 and 2,217.66 is: 3,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,061 : 12,090.96 = 2,217.66 : x
  2. Step 2: Convert to fraction form
    8,061/12,090.96 = 2,217.66/x
  3. Step 3: Cross multiply
    8,061x = 12,090.96 × 2,217.66
  4. Step 4: Simplify right side
    8,061x = 26,813,638.35
  5. Step 5: Solve for x
    x = 26,813,638.35/8,061
  6. Step 6: Final answer
    x = 3,326.34

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Why These Related Problems?

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