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Finding the Fourth Proportional to 8,378.85, 12,549.12 and 3,999.38

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Solution

The fourth proportional to 8,378.85, 12,549.12 and 3,999.38 is: 5,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.85 : 12,549.12 = 3,999.38 : x
  2. Step 2: Convert to fraction form
    8,378.85/12,549.12 = 3,999.38/x
  3. Step 3: Cross multiply
    8,378.85x = 12,549.12 × 3,999.38
  4. Step 4: Simplify right side
    8,378.85x = 50,188,699.55
  5. Step 5: Solve for x
    x = 50,188,699.55/8,378.85
  6. Step 6: Final answer
    x = 5,989.93

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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.