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Finding the Fourth Proportional to 11,767.56, 16,239.54 and 6,462.66

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Solution

The fourth proportional to 11,767.56, 16,239.54 and 6,462.66 is: 8,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.56 : 16,239.54 = 6,462.66 : x
  2. Step 2: Convert to fraction form
    11,767.56/16,239.54 = 6,462.66/x
  3. Step 3: Cross multiply
    11,767.56x = 16,239.54 × 6,462.66
  4. Step 4: Simplify right side
    11,767.56x = 104,950,625.58
  5. Step 5: Solve for x
    x = 104,950,625.58/11,767.56
  6. Step 6: Final answer
    x = 8,918.64

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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.