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Finding the Fourth Proportional to 8,189.94, 11,289.87 and 6,418.47

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Solution

The fourth proportional to 8,189.94, 11,289.87 and 6,418.47 is: 8,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.94 : 11,289.87 = 6,418.47 : x
  2. Step 2: Convert to fraction form
    8,189.94/11,289.87 = 6,418.47/x
  3. Step 3: Cross multiply
    8,189.94x = 11,289.87 × 6,418.47
  4. Step 4: Simplify right side
    8,189.94x = 72,463,691.90
  5. Step 5: Solve for x
    x = 72,463,691.90/8,189.94
  6. Step 6: Final answer
    x = 8,847.89

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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.