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Finding the Fourth Proportional to 11,101.98, 16,644.75 and 5,251.75

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Solution

The fourth proportional to 11,101.98, 16,644.75 and 5,251.75 is: 7,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,101.98 : 16,644.75 = 5,251.75 : x
  2. Step 2: Convert to fraction form
    11,101.98/16,644.75 = 5,251.75/x
  3. Step 3: Cross multiply
    11,101.98x = 16,644.75 × 5,251.75
  4. Step 4: Simplify right side
    11,101.98x = 87,414,065.81
  5. Step 5: Solve for x
    x = 87,414,065.81/11,101.98
  6. Step 6: Final answer
    x = 7,873.74

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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.