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Finding the Fourth Proportional to 12,004.65, 18,003.08 and 3,997.28

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Solution

The fourth proportional to 12,004.65, 18,003.08 and 3,997.28 is: 5,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.65 : 18,003.08 = 3,997.28 : x
  2. Step 2: Convert to fraction form
    12,004.65/18,003.08 = 3,997.28/x
  3. Step 3: Cross multiply
    12,004.65x = 18,003.08 × 3,997.28
  4. Step 4: Simplify right side
    12,004.65x = 71,963,414.12
  5. Step 5: Solve for x
    x = 71,963,414.12/12,004.65
  6. Step 6: Final answer
    x = 5,994.63

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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.