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Finding the Fourth Proportional to 11,228.44, 16,824 and 6,832.60

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Solution

The fourth proportional to 11,228.44, 16,824 and 6,832.60 is: 10,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228.44 : 16,824 = 6,832.60 : x
  2. Step 2: Convert to fraction form
    11,228.44/16,824 = 6,832.60/x
  3. Step 3: Cross multiply
    11,228.44x = 16,824 × 6,832.60
  4. Step 4: Simplify right side
    11,228.44x = 114,951,662.40
  5. Step 5: Solve for x
    x = 114,951,662.40/11,228.44
  6. Step 6: Final answer
    x = 10,237.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.