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Finding the Fourth Proportional to 11,630.09, 16,049.07 and 6,324.92

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Solution

The fourth proportional to 11,630.09, 16,049.07 and 6,324.92 is: 8,728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.09 : 16,049.07 = 6,324.92 : x
  2. Step 2: Convert to fraction form
    11,630.09/16,049.07 = 6,324.92/x
  3. Step 3: Cross multiply
    11,630.09x = 16,049.07 × 6,324.92
  4. Step 4: Simplify right side
    11,630.09x = 101,509,003.58
  5. Step 5: Solve for x
    x = 101,509,003.58/11,630.09
  6. Step 6: Final answer
    x = 8,728.14

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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.