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Finding the Fourth Proportional to 8,114.25, 12,171.38 and 1,958.25

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Solution

The fourth proportional to 8,114.25, 12,171.38 and 1,958.25 is: 2,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.25 : 12,171.38 = 1,958.25 : x
  2. Step 2: Convert to fraction form
    8,114.25/12,171.38 = 1,958.25/x
  3. Step 3: Cross multiply
    8,114.25x = 12,171.38 × 1,958.25
  4. Step 4: Simplify right side
    8,114.25x = 23,834,595.09
  5. Step 5: Solve for x
    x = 23,834,595.09/8,114.25
  6. Step 6: Final answer
    x = 2,937.38

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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.