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Finding the Fourth Proportional to 8,114.39, 12,173.73 and 2,567.82

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Solution

The fourth proportional to 8,114.39, 12,173.73 and 2,567.82 is: 3,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.39 : 12,173.73 = 2,567.82 : x
  2. Step 2: Convert to fraction form
    8,114.39/12,173.73 = 2,567.82/x
  3. Step 3: Cross multiply
    8,114.39x = 12,173.73 × 2,567.82
  4. Step 4: Simplify right side
    8,114.39x = 31,259,947.37
  5. Step 5: Solve for x
    x = 31,259,947.37/8,114.39
  6. Step 6: Final answer
    x = 3,852.41

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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.