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Finding the Fourth Proportional to 11,105.36, 15,321.98 and 6,689.36

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Solution

The fourth proportional to 11,105.36, 15,321.98 and 6,689.36 is: 9,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.36 : 15,321.98 = 6,689.36 : x
  2. Step 2: Convert to fraction form
    11,105.36/15,321.98 = 6,689.36/x
  3. Step 3: Cross multiply
    11,105.36x = 15,321.98 × 6,689.36
  4. Step 4: Simplify right side
    11,105.36x = 102,494,240.13
  5. Step 5: Solve for x
    x = 102,494,240.13/11,105.36
  6. Step 6: Final answer
    x = 9,229.26

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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.