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Finding the Fourth Proportional to 8,109.75, 12,148.89 and 5,327.98

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Solution

The fourth proportional to 8,109.75, 12,148.89 and 5,327.98 is: 7,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.75 : 12,148.89 = 5,327.98 : x
  2. Step 2: Convert to fraction form
    8,109.75/12,148.89 = 5,327.98/x
  3. Step 3: Cross multiply
    8,109.75x = 12,148.89 × 5,327.98
  4. Step 4: Simplify right side
    8,109.75x = 64,729,042.94
  5. Step 5: Solve for x
    x = 64,729,042.94/8,109.75
  6. Step 6: Final answer
    x = 7,981.63

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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.