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Finding the Fourth Proportional to 8,378.43, 12,570.09 and 3,999.57

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Solution

The fourth proportional to 8,378.43, 12,570.09 and 3,999.57 is: 6,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.43 : 12,570.09 = 3,999.57 : x
  2. Step 2: Convert to fraction form
    8,378.43/12,570.09 = 3,999.57/x
  3. Step 3: Cross multiply
    8,378.43x = 12,570.09 × 3,999.57
  4. Step 4: Simplify right side
    8,378.43x = 50,274,954.86
  5. Step 5: Solve for x
    x = 50,274,954.86/8,378.43
  6. Step 6: Final answer
    x = 6,000.52

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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.