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Finding the Fourth Proportional to 8,180.57, 11,299.74 and 6,315.21

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Solution

The fourth proportional to 8,180.57, 11,299.74 and 6,315.21 is: 8,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.57 : 11,299.74 = 6,315.21 : x
  2. Step 2: Convert to fraction form
    8,180.57/11,299.74 = 6,315.21/x
  3. Step 3: Cross multiply
    8,180.57x = 11,299.74 × 6,315.21
  4. Step 4: Simplify right side
    8,180.57x = 71,360,231.05
  5. Step 5: Solve for x
    x = 71,360,231.05/8,180.57
  6. Step 6: Final answer
    x = 8,723.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.