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Finding the Fourth Proportional to 8,189.62, 12,289.26 and 4,491.16

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Solution

The fourth proportional to 8,189.62, 12,289.26 and 4,491.16 is: 6,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.62 : 12,289.26 = 4,491.16 : x
  2. Step 2: Convert to fraction form
    8,189.62/12,289.26 = 4,491.16/x
  3. Step 3: Cross multiply
    8,189.62x = 12,289.26 × 4,491.16
  4. Step 4: Simplify right side
    8,189.62x = 55,193,032.94
  5. Step 5: Solve for x
    x = 55,193,032.94/8,189.62
  6. Step 6: Final answer
    x = 6,739.39

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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.