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Finding the Fourth Proportional to 7,771.50, 10,727.46 and 4,627.62

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Solution

The fourth proportional to 7,771.50, 10,727.46 and 4,627.62 is: 6,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.50 : 10,727.46 = 4,627.62 : x
  2. Step 2: Convert to fraction form
    7,771.50/10,727.46 = 4,627.62/x
  3. Step 3: Cross multiply
    7,771.50x = 10,727.46 × 4,627.62
  4. Step 4: Simplify right side
    7,771.50x = 49,642,608.45
  5. Step 5: Solve for x
    x = 49,642,608.45/7,771.50
  6. Step 6: Final answer
    x = 6,387.78

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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.