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Finding the Fourth Proportional to 11,273.44, 16,914.48 and 5,116

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Solution

The fourth proportional to 11,273.44, 16,914.48 and 5,116 is: 7,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,273.44 : 16,914.48 = 5,116 : x
  2. Step 2: Convert to fraction form
    11,273.44/16,914.48 = 5,116/x
  3. Step 3: Cross multiply
    11,273.44x = 16,914.48 × 5,116
  4. Step 4: Simplify right side
    11,273.44x = 86,534,479.68
  5. Step 5: Solve for x
    x = 86,534,479.68/11,273.44
  6. Step 6: Final answer
    x = 7,675.96

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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.