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Finding the Fourth Proportional to 11,767.68, 16,239.69 and 6,462.99

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Solution

The fourth proportional to 11,767.68, 16,239.69 and 6,462.99 is: 8,919.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.68 : 16,239.69 = 6,462.99 : x
  2. Step 2: Convert to fraction form
    11,767.68/16,239.69 = 6,462.99/x
  3. Step 3: Cross multiply
    11,767.68x = 16,239.69 × 6,462.99
  4. Step 4: Simplify right side
    11,767.68x = 104,956,954.07
  5. Step 5: Solve for x
    x = 104,956,954.07/11,767.68
  6. Step 6: Final answer
    x = 8,919.09

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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.