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Finding the Fourth Proportional to 7,147.16, 10,720.74 and 3,861.80

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Solution

The fourth proportional to 7,147.16, 10,720.74 and 3,861.80 is: 5,792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.16 : 10,720.74 = 3,861.80 : x
  2. Step 2: Convert to fraction form
    7,147.16/10,720.74 = 3,861.80/x
  3. Step 3: Cross multiply
    7,147.16x = 10,720.74 × 3,861.80
  4. Step 4: Simplify right side
    7,147.16x = 41,401,353.73
  5. Step 5: Solve for x
    x = 41,401,353.73/7,147.16
  6. Step 6: Final answer
    x = 5,792.70

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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.