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Finding the Fourth Proportional to 8,092.98, 12,139.47 and 2,249.60

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Solution

The fourth proportional to 8,092.98, 12,139.47 and 2,249.60 is: 3,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.98 : 12,139.47 = 2,249.60 : x
  2. Step 2: Convert to fraction form
    8,092.98/12,139.47 = 2,249.60/x
  3. Step 3: Cross multiply
    8,092.98x = 12,139.47 × 2,249.60
  4. Step 4: Simplify right side
    8,092.98x = 27,308,891.01
  5. Step 5: Solve for x
    x = 27,308,891.01/8,092.98
  6. Step 6: Final answer
    x = 3,374.39

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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.