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Finding the Fourth Proportional to 11,741.70, 16,194.96 and 7,495.68

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Solution

The fourth proportional to 11,741.70, 16,194.96 and 7,495.68 is: 10,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.70 : 16,194.96 = 7,495.68 : x
  2. Step 2: Convert to fraction form
    11,741.70/16,194.96 = 7,495.68/x
  3. Step 3: Cross multiply
    11,741.70x = 16,194.96 × 7,495.68
  4. Step 4: Simplify right side
    11,741.70x = 121,392,237.77
  5. Step 5: Solve for x
    x = 121,392,237.77/11,741.70
  6. Step 6: Final answer
    x = 10,338.56

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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.