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Finding the Fourth Proportional to 11,834.38, 17,775.22 and 7,399.94

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Solution

The fourth proportional to 11,834.38, 17,775.22 and 7,399.94 is: 11,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.38 : 17,775.22 = 7,399.94 : x
  2. Step 2: Convert to fraction form
    11,834.38/17,775.22 = 7,399.94/x
  3. Step 3: Cross multiply
    11,834.38x = 17,775.22 × 7,399.94
  4. Step 4: Simplify right side
    11,834.38x = 131,535,551.29
  5. Step 5: Solve for x
    x = 131,535,551.29/11,834.38
  6. Step 6: Final answer
    x = 11,114.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.