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Finding the Fourth Proportional to 11,919.54, 16,450 and 6,615.38

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Solution

The fourth proportional to 11,919.54, 16,450 and 6,615.38 is: 9,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.54 : 16,450 = 6,615.38 : x
  2. Step 2: Convert to fraction form
    11,919.54/16,450 = 6,615.38/x
  3. Step 3: Cross multiply
    11,919.54x = 16,450 × 6,615.38
  4. Step 4: Simplify right side
    11,919.54x = 108,823,001
  5. Step 5: Solve for x
    x = 108,823,001/11,919.54
  6. Step 6: Final answer
    x = 9,129.80

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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.