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Finding the Fourth Proportional to 7,851.69, 11,757.95 and 5,500.67

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Solution

The fourth proportional to 7,851.69, 11,757.95 and 5,500.67 is: 8,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.69 : 11,757.95 = 5,500.67 : x
  2. Step 2: Convert to fraction form
    7,851.69/11,757.95 = 5,500.67/x
  3. Step 3: Cross multiply
    7,851.69x = 11,757.95 × 5,500.67
  4. Step 4: Simplify right side
    7,851.69x = 64,676,516.53
  5. Step 5: Solve for x
    x = 64,676,516.53/7,851.69
  6. Step 6: Final answer
    x = 8,237.27

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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.