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Finding the Fourth Proportional to 11,872.29, 16,384.22 and 6,567

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Solution

The fourth proportional to 11,872.29, 16,384.22 and 6,567 is: 9,062.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.29 : 16,384.22 = 6,567 : x
  2. Step 2: Convert to fraction form
    11,872.29/16,384.22 = 6,567/x
  3. Step 3: Cross multiply
    11,872.29x = 16,384.22 × 6,567
  4. Step 4: Simplify right side
    11,872.29x = 107,595,172.74
  5. Step 5: Solve for x
    x = 107,595,172.74/11,872.29
  6. Step 6: Final answer
    x = 9,062.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.