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Finding the Fourth Proportional to 11,846.82, 16,354.53 and 7,372.02

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Solution

The fourth proportional to 11,846.82, 16,354.53 and 7,372.02 is: 10,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.82 : 16,354.53 = 7,372.02 : x
  2. Step 2: Convert to fraction form
    11,846.82/16,354.53 = 7,372.02/x
  3. Step 3: Cross multiply
    11,846.82x = 16,354.53 × 7,372.02
  4. Step 4: Simplify right side
    11,846.82x = 120,565,922.25
  5. Step 5: Solve for x
    x = 120,565,922.25/11,846.82
  6. Step 6: Final answer
    x = 10,177.07

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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.