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Finding the Fourth Proportional to 12,086.75, 18,130.10 and 3,767.24

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Solution

The fourth proportional to 12,086.75, 18,130.10 and 3,767.24 is: 5,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.75 : 18,130.10 = 3,767.24 : x
  2. Step 2: Convert to fraction form
    12,086.75/18,130.10 = 3,767.24/x
  3. Step 3: Cross multiply
    12,086.75x = 18,130.10 × 3,767.24
  4. Step 4: Simplify right side
    12,086.75x = 68,300,464.41
  5. Step 5: Solve for x
    x = 68,300,464.41/12,086.75
  6. Step 6: Final answer
    x = 5,650.85

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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.