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Finding the Fourth Proportional to 7,738.68, 11,604.18 and 5,516.30

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Solution

The fourth proportional to 7,738.68, 11,604.18 and 5,516.30 is: 8,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.68 : 11,604.18 = 5,516.30 : x
  2. Step 2: Convert to fraction form
    7,738.68/11,604.18 = 5,516.30/x
  3. Step 3: Cross multiply
    7,738.68x = 11,604.18 × 5,516.30
  4. Step 4: Simplify right side
    7,738.68x = 64,012,138.13
  5. Step 5: Solve for x
    x = 64,012,138.13/7,738.68
  6. Step 6: Final answer
    x = 8,271.71

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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.