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Finding the Fourth Proportional to 11,858.24, 16,372.32 and 7,383.80

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Solution

The fourth proportional to 11,858.24, 16,372.32 and 7,383.80 is: 10,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.24 : 16,372.32 = 7,383.80 : x
  2. Step 2: Convert to fraction form
    11,858.24/16,372.32 = 7,383.80/x
  3. Step 3: Cross multiply
    11,858.24x = 16,372.32 × 7,383.80
  4. Step 4: Simplify right side
    11,858.24x = 120,889,936.42
  5. Step 5: Solve for x
    x = 120,889,936.42/11,858.24
  6. Step 6: Final answer
    x = 10,194.59

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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.