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Finding the Fourth Proportional to 11,027.98, 15,212.91 and 6,828.94

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Solution

The fourth proportional to 11,027.98, 15,212.91 and 6,828.94 is: 9,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027.98 : 15,212.91 = 6,828.94 : x
  2. Step 2: Convert to fraction form
    11,027.98/15,212.91 = 6,828.94/x
  3. Step 3: Cross multiply
    11,027.98x = 15,212.91 × 6,828.94
  4. Step 4: Simplify right side
    11,027.98x = 103,888,049.62
  5. Step 5: Solve for x
    x = 103,888,049.62/11,027.98
  6. Step 6: Final answer
    x = 9,420.41

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