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Finding the Fourth Proportional to 11,105, 15,324.90 and 6,137

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Solution

The fourth proportional to 11,105, 15,324.90 and 6,137 is: 8,469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105 : 15,324.90 = 6,137 : x
  2. Step 2: Convert to fraction form
    11,105/15,324.90 = 6,137/x
  3. Step 3: Cross multiply
    11,105x = 15,324.90 × 6,137
  4. Step 4: Simplify right side
    11,105x = 94,048,911.30
  5. Step 5: Solve for x
    x = 94,048,911.30/11,105
  6. Step 6: Final answer
    x = 8,469.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.