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Finding the Fourth Proportional to 11,751, 16,217.82 and 6,783

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Solution

The fourth proportional to 11,751, 16,217.82 and 6,783 is: 9,361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751 : 16,217.82 = 6,783 : x
  2. Step 2: Convert to fraction form
    11,751/16,217.82 = 6,783/x
  3. Step 3: Cross multiply
    11,751x = 16,217.82 × 6,783
  4. Step 4: Simplify right side
    11,751x = 110,005,473.06
  5. Step 5: Solve for x
    x = 110,005,473.06/11,751
  6. Step 6: Final answer
    x = 9,361.37

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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.