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Finding the Fourth Proportional to 7,757.46, 10,705.32 and 4,220.67

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Solution

The fourth proportional to 7,757.46, 10,705.32 and 4,220.67 is: 5,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.46 : 10,705.32 = 4,220.67 : x
  2. Step 2: Convert to fraction form
    7,757.46/10,705.32 = 4,220.67/x
  3. Step 3: Cross multiply
    7,757.46x = 10,705.32 × 4,220.67
  4. Step 4: Simplify right side
    7,757.46x = 45,183,622.96
  5. Step 5: Solve for x
    x = 45,183,622.96/7,757.46
  6. Step 6: Final answer
    x = 5,824.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.