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Finding the Fourth Proportional to 12,079.72, 18,104.94 and 5,504.20

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Solution

The fourth proportional to 12,079.72, 18,104.94 and 5,504.20 is: 8,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079.72 : 18,104.94 = 5,504.20 : x
  2. Step 2: Convert to fraction form
    12,079.72/18,104.94 = 5,504.20/x
  3. Step 3: Cross multiply
    12,079.72x = 18,104.94 × 5,504.20
  4. Step 4: Simplify right side
    12,079.72x = 99,653,210.75
  5. Step 5: Solve for x
    x = 99,653,210.75/12,079.72
  6. Step 6: Final answer
    x = 8,249.63

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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.