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Finding the Fourth Proportional to 11,728.91, 16,186.29 and 6,424.02

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Solution

The fourth proportional to 11,728.91, 16,186.29 and 6,424.02 is: 8,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.91 : 16,186.29 = 6,424.02 : x
  2. Step 2: Convert to fraction form
    11,728.91/16,186.29 = 6,424.02/x
  3. Step 3: Cross multiply
    11,728.91x = 16,186.29 × 6,424.02
  4. Step 4: Simplify right side
    11,728.91x = 103,981,018.57
  5. Step 5: Solve for x
    x = 103,981,018.57/11,728.91
  6. Step 6: Final answer
    x = 8,865.36

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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.