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Finding the Fourth Proportional to 10,813.84, 16,204.32 and 8,027.44

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Solution

The fourth proportional to 10,813.84, 16,204.32 and 8,027.44 is: 12,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.84 : 16,204.32 = 8,027.44 : x
  2. Step 2: Convert to fraction form
    10,813.84/16,204.32 = 8,027.44/x
  3. Step 3: Cross multiply
    10,813.84x = 16,204.32 × 8,027.44
  4. Step 4: Simplify right side
    10,813.84x = 130,079,166.03
  5. Step 5: Solve for x
    x = 130,079,166.03/10,813.84
  6. Step 6: Final answer
    x = 12,028.96

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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.