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Finding the Fourth Proportional to 12,004, 18,006.08 and 3,796

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Solution

The fourth proportional to 12,004, 18,006.08 and 3,796 is: 5,694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004 : 18,006.08 = 3,796 : x
  2. Step 2: Convert to fraction form
    12,004/18,006.08 = 3,796/x
  3. Step 3: Cross multiply
    12,004x = 18,006.08 × 3,796
  4. Step 4: Simplify right side
    12,004x = 68,351,079.68
  5. Step 5: Solve for x
    x = 68,351,079.68/12,004
  6. Step 6: Final answer
    x = 5,694.03

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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.