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Finding the Fourth Proportional to 8,098.86, 12,144.78 and 3,420.96

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Solution

The fourth proportional to 8,098.86, 12,144.78 and 3,420.96 is: 5,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.86 : 12,144.78 = 3,420.96 : x
  2. Step 2: Convert to fraction form
    8,098.86/12,144.78 = 3,420.96/x
  3. Step 3: Cross multiply
    8,098.86x = 12,144.78 × 3,420.96
  4. Step 4: Simplify right side
    8,098.86x = 41,546,806.59
  5. Step 5: Solve for x
    x = 41,546,806.59/8,098.86
  6. Step 6: Final answer
    x = 5,129.96

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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.