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Finding the Fourth Proportional to 11,738.64, 16,199.22 and 6,433.44

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Solution

The fourth proportional to 11,738.64, 16,199.22 and 6,433.44 is: 8,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.64 : 16,199.22 = 6,433.44 : x
  2. Step 2: Convert to fraction form
    11,738.64/16,199.22 = 6,433.44/x
  3. Step 3: Cross multiply
    11,738.64x = 16,199.22 × 6,433.44
  4. Step 4: Simplify right side
    11,738.64x = 104,216,709.92
  5. Step 5: Solve for x
    x = 104,216,709.92/11,738.64
  6. Step 6: Final answer
    x = 8,878.09

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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.