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Finding the Fourth Proportional to 8,028.24, 11,078.22 and 5,003.08

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Solution

The fourth proportional to 8,028.24, 11,078.22 and 5,003.08 is: 6,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.24 : 11,078.22 = 5,003.08 : x
  2. Step 2: Convert to fraction form
    8,028.24/11,078.22 = 5,003.08/x
  3. Step 3: Cross multiply
    8,028.24x = 11,078.22 × 5,003.08
  4. Step 4: Simplify right side
    8,028.24x = 55,425,220.92
  5. Step 5: Solve for x
    x = 55,425,220.92/8,028.24
  6. Step 6: Final answer
    x = 6,903.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.