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Finding the Fourth Proportional to 11,855.44, 17,790 and 5,282.26

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Solution

The fourth proportional to 11,855.44, 17,790 and 5,282.26 is: 7,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.44 : 17,790 = 5,282.26 : x
  2. Step 2: Convert to fraction form
    11,855.44/17,790 = 5,282.26/x
  3. Step 3: Cross multiply
    11,855.44x = 17,790 × 5,282.26
  4. Step 4: Simplify right side
    11,855.44x = 93,971,405.40
  5. Step 5: Solve for x
    x = 93,971,405.40/11,855.44
  6. Step 6: Final answer
    x = 7,926.44

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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.