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Finding the Fourth Proportional to 11,926.50, 17,896.26 and 5,770.50

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Solution

The fourth proportional to 11,926.50, 17,896.26 and 5,770.50 is: 8,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926.50 : 17,896.26 = 5,770.50 : x
  2. Step 2: Convert to fraction form
    11,926.50/17,896.26 = 5,770.50/x
  3. Step 3: Cross multiply
    11,926.50x = 17,896.26 × 5,770.50
  4. Step 4: Simplify right side
    11,926.50x = 103,270,368.33
  5. Step 5: Solve for x
    x = 103,270,368.33/11,926.50
  6. Step 6: Final answer
    x = 8,658.90

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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.