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Finding the Fourth Proportional to 11,922.92, 16,454.63 and 6,546.26

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Solution

The fourth proportional to 11,922.92, 16,454.63 and 6,546.26 is: 9,034.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.92 : 16,454.63 = 6,546.26 : x
  2. Step 2: Convert to fraction form
    11,922.92/16,454.63 = 6,546.26/x
  3. Step 3: Cross multiply
    11,922.92x = 16,454.63 × 6,546.26
  4. Step 4: Simplify right side
    11,922.92x = 107,716,322.91
  5. Step 5: Solve for x
    x = 107,716,322.91/11,922.92
  6. Step 6: Final answer
    x = 9,034.39

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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.