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Finding the Fourth Proportional to 8,084.51, 12,114.31 and 5,446.34

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Solution

The fourth proportional to 8,084.51, 12,114.31 and 5,446.34 is: 8,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.51 : 12,114.31 = 5,446.34 : x
  2. Step 2: Convert to fraction form
    8,084.51/12,114.31 = 5,446.34/x
  3. Step 3: Cross multiply
    8,084.51x = 12,114.31 × 5,446.34
  4. Step 4: Simplify right side
    8,084.51x = 65,978,651.13
  5. Step 5: Solve for x
    x = 65,978,651.13/8,084.51
  6. Step 6: Final answer
    x = 8,161.12

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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.