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Finding the Fourth Proportional to 11,767.32, 16,239.96 and 6,463.26

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Solution

The fourth proportional to 11,767.32, 16,239.96 and 6,463.26 is: 8,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.32 : 16,239.96 = 6,463.26 : x
  2. Step 2: Convert to fraction form
    11,767.32/16,239.96 = 6,463.26/x
  3. Step 3: Cross multiply
    11,767.32x = 16,239.96 × 6,463.26
  4. Step 4: Simplify right side
    11,767.32x = 104,963,083.87
  5. Step 5: Solve for x
    x = 104,963,083.87/11,767.32
  6. Step 6: Final answer
    x = 8,919.88

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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.