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Finding the Fourth Proportional to 8,287.55, 11,428.22 and 6,399.44

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Solution

The fourth proportional to 8,287.55, 11,428.22 and 6,399.44 is: 8,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.55 : 11,428.22 = 6,399.44 : x
  2. Step 2: Convert to fraction form
    8,287.55/11,428.22 = 6,399.44/x
  3. Step 3: Cross multiply
    8,287.55x = 11,428.22 × 6,399.44
  4. Step 4: Simplify right side
    8,287.55x = 73,134,209.91
  5. Step 5: Solve for x
    x = 73,134,209.91/8,287.55
  6. Step 6: Final answer
    x = 8,824.59

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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.