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Finding the Fourth Proportional to 11,829.46, 16,324.74 and 6,524.44

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Solution

The fourth proportional to 11,829.46, 16,324.74 and 6,524.44 is: 9,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.46 : 16,324.74 = 6,524.44 : x
  2. Step 2: Convert to fraction form
    11,829.46/16,324.74 = 6,524.44/x
  3. Step 3: Cross multiply
    11,829.46x = 16,324.74 × 6,524.44
  4. Step 4: Simplify right side
    11,829.46x = 106,509,786.65
  5. Step 5: Solve for x
    x = 106,509,786.65/11,829.46
  6. Step 6: Final answer
    x = 9,003.77

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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.