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Finding the Fourth Proportional to 12,078.69, 16,662.92 and 8,543.85

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Solution

The fourth proportional to 12,078.69, 16,662.92 and 8,543.85 is: 11,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.69 : 16,662.92 = 8,543.85 : x
  2. Step 2: Convert to fraction form
    12,078.69/16,662.92 = 8,543.85/x
  3. Step 3: Cross multiply
    12,078.69x = 16,662.92 × 8,543.85
  4. Step 4: Simplify right side
    12,078.69x = 142,365,446.32
  5. Step 5: Solve for x
    x = 142,365,446.32/12,078.69
  6. Step 6: Final answer
    x = 11,786.50

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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.