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Finding the Fourth Proportional to 11,858.96, 17,789.46 and 3,538.44

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Solution

The fourth proportional to 11,858.96, 17,789.46 and 3,538.44 is: 5,307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.96 : 17,789.46 = 3,538.44 : x
  2. Step 2: Convert to fraction form
    11,858.96/17,789.46 = 3,538.44/x
  3. Step 3: Cross multiply
    11,858.96x = 17,789.46 × 3,538.44
  4. Step 4: Simplify right side
    11,858.96x = 62,946,923.57
  5. Step 5: Solve for x
    x = 62,946,923.57/11,858.96
  6. Step 6: Final answer
    x = 5,307.96

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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.