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Finding the Fourth Proportional to 8,087.90, 12,134.79 and 3,409.08

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Solution

The fourth proportional to 8,087.90, 12,134.79 and 3,409.08 is: 5,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,087.90 : 12,134.79 = 3,409.08 : x
  2. Step 2: Convert to fraction form
    8,087.90/12,134.79 = 3,409.08/x
  3. Step 3: Cross multiply
    8,087.90x = 12,134.79 × 3,409.08
  4. Step 4: Simplify right side
    8,087.90x = 41,368,469.89
  5. Step 5: Solve for x
    x = 41,368,469.89/8,087.90
  6. Step 6: Final answer
    x = 5,114.86

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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.