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Finding the Fourth Proportional to 8,491.28, 11,723.67 and 6,498.27

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Solution

The fourth proportional to 8,491.28, 11,723.67 and 6,498.27 is: 8,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.28 : 11,723.67 = 6,498.27 : x
  2. Step 2: Convert to fraction form
    8,491.28/11,723.67 = 6,498.27/x
  3. Step 3: Cross multiply
    8,491.28x = 11,723.67 × 6,498.27
  4. Step 4: Simplify right side
    8,491.28x = 76,183,573.05
  5. Step 5: Solve for x
    x = 76,183,573.05/8,491.28
  6. Step 6: Final answer
    x = 8,971.98

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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.