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Finding the Fourth Proportional to 8,114.41, 12,147.87 and 7,336.20

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Solution

The fourth proportional to 8,114.41, 12,147.87 and 7,336.20 is: 10,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.41 : 12,147.87 = 7,336.20 : x
  2. Step 2: Convert to fraction form
    8,114.41/12,147.87 = 7,336.20/x
  3. Step 3: Cross multiply
    8,114.41x = 12,147.87 × 7,336.20
  4. Step 4: Simplify right side
    8,114.41x = 89,119,203.89
  5. Step 5: Solve for x
    x = 89,119,203.89/8,114.41
  6. Step 6: Final answer
    x = 10,982.83

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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.