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Finding the Fourth Proportional to 11,836.23, 16,327.89 and 7,358.28

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Solution

The fourth proportional to 11,836.23, 16,327.89 and 7,358.28 is: 10,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836.23 : 16,327.89 = 7,358.28 : x
  2. Step 2: Convert to fraction form
    11,836.23/16,327.89 = 7,358.28/x
  3. Step 3: Cross multiply
    11,836.23x = 16,327.89 × 7,358.28
  4. Step 4: Simplify right side
    11,836.23x = 120,145,186.43
  5. Step 5: Solve for x
    x = 120,145,186.43/11,836.23
  6. Step 6: Final answer
    x = 10,150.63

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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.