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Finding the Fourth Proportional to 8,327.44, 11,491.86 and 4,601.44

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Solution

The fourth proportional to 8,327.44, 11,491.86 and 4,601.44 is: 6,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.44 : 11,491.86 = 4,601.44 : x
  2. Step 2: Convert to fraction form
    8,327.44/11,491.86 = 4,601.44/x
  3. Step 3: Cross multiply
    8,327.44x = 11,491.86 × 4,601.44
  4. Step 4: Simplify right side
    8,327.44x = 52,879,104.28
  5. Step 5: Solve for x
    x = 52,879,104.28/8,327.44
  6. Step 6: Final answer
    x = 6,349.98

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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.