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Finding the Fourth Proportional to 11,768.09, 16,239.98 and 6,463.24

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Solution

The fourth proportional to 11,768.09, 16,239.98 and 6,463.24 is: 8,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.09 : 16,239.98 = 6,463.24 : x
  2. Step 2: Convert to fraction form
    11,768.09/16,239.98 = 6,463.24/x
  3. Step 3: Cross multiply
    11,768.09x = 16,239.98 × 6,463.24
  4. Step 4: Simplify right side
    11,768.09x = 104,962,863.89
  5. Step 5: Solve for x
    x = 104,962,863.89/11,768.09
  6. Step 6: Final answer
    x = 8,919.28

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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.