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Finding the Fourth Proportional to 7,151.85, 10,717.90 and 5,161.62

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Solution

The fourth proportional to 7,151.85, 10,717.90 and 5,161.62 is: 7,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.85 : 10,717.90 = 5,161.62 : x
  2. Step 2: Convert to fraction form
    7,151.85/10,717.90 = 5,161.62/x
  3. Step 3: Cross multiply
    7,151.85x = 10,717.90 × 5,161.62
  4. Step 4: Simplify right side
    7,151.85x = 55,321,673.41
  5. Step 5: Solve for x
    x = 55,321,673.41/7,151.85
  6. Step 6: Final answer
    x = 7,735.30

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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.