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Finding the Fourth Proportional to 11,804, 16,289.43 and 7,027.22

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Solution

The fourth proportional to 11,804, 16,289.43 and 7,027.22 is: 9,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804 : 16,289.43 = 7,027.22 : x
  2. Step 2: Convert to fraction form
    11,804/16,289.43 = 7,027.22/x
  3. Step 3: Cross multiply
    11,804x = 16,289.43 × 7,027.22
  4. Step 4: Simplify right side
    11,804x = 114,469,408.28
  5. Step 5: Solve for x
    x = 114,469,408.28/11,804
  6. Step 6: Final answer
    x = 9,697.51

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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.