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Finding the Fourth Proportional to 11,137.82, 16,697.75 and 5,588.24

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Solution

The fourth proportional to 11,137.82, 16,697.75 and 5,588.24 is: 8,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.82 : 16,697.75 = 5,588.24 : x
  2. Step 2: Convert to fraction form
    11,137.82/16,697.75 = 5,588.24/x
  3. Step 3: Cross multiply
    11,137.82x = 16,697.75 × 5,588.24
  4. Step 4: Simplify right side
    11,137.82x = 93,310,923.03
  5. Step 5: Solve for x
    x = 93,310,923.03/11,137.82
  6. Step 6: Final answer
    x = 8,377.85

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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.