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Finding the Fourth Proportional to 11,767.75, 16,239.50 and 6,462.66

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Solution

The fourth proportional to 11,767.75, 16,239.50 and 6,462.66 is: 8,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.75 : 16,239.50 = 6,462.66 : x
  2. Step 2: Convert to fraction form
    11,767.75/16,239.50 = 6,462.66/x
  3. Step 3: Cross multiply
    11,767.75x = 16,239.50 × 6,462.66
  4. Step 4: Simplify right side
    11,767.75x = 104,950,367.07
  5. Step 5: Solve for x
    x = 104,950,367.07/11,767.75
  6. Step 6: Final answer
    x = 8,918.47

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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.