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Finding the Fourth Proportional to 11,746.76, 16,201.11 and 10,327.44

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Solution

The fourth proportional to 11,746.76, 16,201.11 and 10,327.44 is: 14,243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.76 : 16,201.11 = 10,327.44 : x
  2. Step 2: Convert to fraction form
    11,746.76/16,201.11 = 10,327.44/x
  3. Step 3: Cross multiply
    11,746.76x = 16,201.11 × 10,327.44
  4. Step 4: Simplify right side
    11,746.76x = 167,315,991.46
  5. Step 5: Solve for x
    x = 167,315,991.46/11,746.76
  6. Step 6: Final answer
    x = 14,243.59

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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.