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Finding the Fourth Proportional to 8,157.36, 12,237.93 and 2,892.09

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Solution

The fourth proportional to 8,157.36, 12,237.93 and 2,892.09 is: 4,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.36 : 12,237.93 = 2,892.09 : x
  2. Step 2: Convert to fraction form
    8,157.36/12,237.93 = 2,892.09/x
  3. Step 3: Cross multiply
    8,157.36x = 12,237.93 × 2,892.09
  4. Step 4: Simplify right side
    8,157.36x = 35,393,194.97
  5. Step 5: Solve for x
    x = 35,393,194.97/8,157.36
  6. Step 6: Final answer
    x = 4,338.81

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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.