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Finding the Fourth Proportional to 7,757.96, 10,705.78 and 4,571.55

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Solution

The fourth proportional to 7,757.96, 10,705.78 and 4,571.55 is: 6,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.96 : 10,705.78 = 4,571.55 : x
  2. Step 2: Convert to fraction form
    7,757.96/10,705.78 = 4,571.55/x
  3. Step 3: Cross multiply
    7,757.96x = 10,705.78 × 4,571.55
  4. Step 4: Simplify right side
    7,757.96x = 48,942,023.89
  5. Step 5: Solve for x
    x = 48,942,023.89/7,757.96
  6. Step 6: Final answer
    x = 6,308.62

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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.