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Finding the Fourth Proportional to 11,027, 16,529.56 and 6,098.96

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Solution

The fourth proportional to 11,027, 16,529.56 and 6,098.96 is: 9,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027 : 16,529.56 = 6,098.96 : x
  2. Step 2: Convert to fraction form
    11,027/16,529.56 = 6,098.96/x
  3. Step 3: Cross multiply
    11,027x = 16,529.56 × 6,098.96
  4. Step 4: Simplify right side
    11,027x = 100,813,125.26
  5. Step 5: Solve for x
    x = 100,813,125.26/11,027
  6. Step 6: Final answer
    x = 9,142.39

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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.