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Finding the Fourth Proportional to 7,738.27, 10,674.93 and 5,217.19

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Solution

The fourth proportional to 7,738.27, 10,674.93 and 5,217.19 is: 7,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.27 : 10,674.93 = 5,217.19 : x
  2. Step 2: Convert to fraction form
    7,738.27/10,674.93 = 5,217.19/x
  3. Step 3: Cross multiply
    7,738.27x = 10,674.93 × 5,217.19
  4. Step 4: Simplify right side
    7,738.27x = 55,693,138.05
  5. Step 5: Solve for x
    x = 55,693,138.05/7,738.27
  6. Step 6: Final answer
    x = 7,197.10

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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.