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Finding the Fourth Proportional to 6,311.17, 8,709.33 and 3,516.67

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Solution

The fourth proportional to 6,311.17, 8,709.33 and 3,516.67 is: 4,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.17 : 8,709.33 = 3,516.67 : x
  2. Step 2: Convert to fraction form
    6,311.17/8,709.33 = 3,516.67/x
  3. Step 3: Cross multiply
    6,311.17x = 8,709.33 × 3,516.67
  4. Step 4: Simplify right side
    6,311.17x = 30,627,839.53
  5. Step 5: Solve for x
    x = 30,627,839.53/6,311.17
  6. Step 6: Final answer
    x = 4,852.96

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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.