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Finding the Fourth Proportional to 11,121.96, 16,664.46 and 7,828.14

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Solution

The fourth proportional to 11,121.96, 16,664.46 and 7,828.14 is: 11,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,121.96 : 16,664.46 = 7,828.14 : x
  2. Step 2: Convert to fraction form
    11,121.96/16,664.46 = 7,828.14/x
  3. Step 3: Cross multiply
    11,121.96x = 16,664.46 × 7,828.14
  4. Step 4: Simplify right side
    11,121.96x = 130,451,725.90
  5. Step 5: Solve for x
    x = 130,451,725.90/11,121.96
  6. Step 6: Final answer
    x = 11,729.20

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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.