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Finding the Fourth Proportional to 11,767.52, 16,239.17 and 6,462.67

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Solution

The fourth proportional to 11,767.52, 16,239.17 and 6,462.67 is: 8,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.52 : 16,239.17 = 6,462.67 : x
  2. Step 2: Convert to fraction form
    11,767.52/16,239.17 = 6,462.67/x
  3. Step 3: Cross multiply
    11,767.52x = 16,239.17 × 6,462.67
  4. Step 4: Simplify right side
    11,767.52x = 104,948,396.78
  5. Step 5: Solve for x
    x = 104,948,396.78/11,767.52
  6. Step 6: Final answer
    x = 8,918.48

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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.