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Finding the Fourth Proportional to 8,197.78, 12,294.04 and 3,516.53

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Solution

The fourth proportional to 8,197.78, 12,294.04 and 3,516.53 is: 5,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.78 : 12,294.04 = 3,516.53 : x
  2. Step 2: Convert to fraction form
    8,197.78/12,294.04 = 3,516.53/x
  3. Step 3: Cross multiply
    8,197.78x = 12,294.04 × 3,516.53
  4. Step 4: Simplify right side
    8,197.78x = 43,232,349.62
  5. Step 5: Solve for x
    x = 43,232,349.62/8,197.78
  6. Step 6: Final answer
    x = 5,273.67

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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.