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Finding the Fourth Proportional to 8,193.86, 12,290.84 and 2,350.49

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Solution

The fourth proportional to 8,193.86, 12,290.84 and 2,350.49 is: 3,525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.86 : 12,290.84 = 2,350.49 : x
  2. Step 2: Convert to fraction form
    8,193.86/12,290.84 = 2,350.49/x
  3. Step 3: Cross multiply
    8,193.86x = 12,290.84 × 2,350.49
  4. Step 4: Simplify right side
    8,193.86x = 28,889,432.12
  5. Step 5: Solve for x
    x = 28,889,432.12/8,193.86
  6. Step 6: Final answer
    x = 3,525.74

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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.