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Finding the Fourth Proportional to 7,591.75, 11,389.83 and 3,148.60

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Solution

The fourth proportional to 7,591.75, 11,389.83 and 3,148.60 is: 4,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.75 : 11,389.83 = 3,148.60 : x
  2. Step 2: Convert to fraction form
    7,591.75/11,389.83 = 3,148.60/x
  3. Step 3: Cross multiply
    7,591.75x = 11,389.83 × 3,148.60
  4. Step 4: Simplify right side
    7,591.75x = 35,861,946.05
  5. Step 5: Solve for x
    x = 35,861,946.05/7,591.75
  6. Step 6: Final answer
    x = 4,723.81

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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.