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Finding the Fourth Proportional to 7,608.96, 11,411.70 and 3,446.22

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Solution

The fourth proportional to 7,608.96, 11,411.70 and 3,446.22 is: 5,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.96 : 11,411.70 = 3,446.22 : x
  2. Step 2: Convert to fraction form
    7,608.96/11,411.70 = 3,446.22/x
  3. Step 3: Cross multiply
    7,608.96x = 11,411.70 × 3,446.22
  4. Step 4: Simplify right side
    7,608.96x = 39,327,228.77
  5. Step 5: Solve for x
    x = 39,327,228.77/7,608.96
  6. Step 6: Final answer
    x = 5,168.54

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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.