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Finding the Fourth Proportional to 11,929.92, 16,469.22 and 7,456.14

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Solution

The fourth proportional to 11,929.92, 16,469.22 and 7,456.14 is: 10,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.92 : 16,469.22 = 7,456.14 : x
  2. Step 2: Convert to fraction form
    11,929.92/16,469.22 = 7,456.14/x
  3. Step 3: Cross multiply
    11,929.92x = 16,469.22 × 7,456.14
  4. Step 4: Simplify right side
    11,929.92x = 122,796,810.01
  5. Step 5: Solve for x
    x = 122,796,810.01/11,929.92
  6. Step 6: Final answer
    x = 10,293.18

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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.