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Finding the Fourth Proportional to 11,600.38, 17,400.57 and 2,835.19

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Solution

The fourth proportional to 11,600.38, 17,400.57 and 2,835.19 is: 4,252.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.38 : 17,400.57 = 2,835.19 : x
  2. Step 2: Convert to fraction form
    11,600.38/17,400.57 = 2,835.19/x
  3. Step 3: Cross multiply
    11,600.38x = 17,400.57 × 2,835.19
  4. Step 4: Simplify right side
    11,600.38x = 49,333,922.06
  5. Step 5: Solve for x
    x = 49,333,922.06/11,600.38
  6. Step 6: Final answer
    x = 4,252.79

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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.