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Finding the Fourth Proportional to 11,728, 16,184.64 and 6,422.86

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Solution

The fourth proportional to 11,728, 16,184.64 and 6,422.86 is: 8,863.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728 : 16,184.64 = 6,422.86 : x
  2. Step 2: Convert to fraction form
    11,728/16,184.64 = 6,422.86/x
  3. Step 3: Cross multiply
    11,728x = 16,184.64 × 6,422.86
  4. Step 4: Simplify right side
    11,728x = 103,951,676.87
  5. Step 5: Solve for x
    x = 103,951,676.87/11,728
  6. Step 6: Final answer
    x = 8,863.55

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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.