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Finding the Fourth Proportional to 8,153.42, 12,228.17 and 3,766.66

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Solution

The fourth proportional to 8,153.42, 12,228.17 and 3,766.66 is: 5,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.42 : 12,228.17 = 3,766.66 : x
  2. Step 2: Convert to fraction form
    8,153.42/12,228.17 = 3,766.66/x
  3. Step 3: Cross multiply
    8,153.42x = 12,228.17 × 3,766.66
  4. Step 4: Simplify right side
    8,153.42x = 46,059,309.41
  5. Step 5: Solve for x
    x = 46,059,309.41/8,153.42
  6. Step 6: Final answer
    x = 5,649.08

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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.