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Finding the Fourth Proportional to 10,118.68, 15,178.74 and 3,193

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Solution

The fourth proportional to 10,118.68, 15,178.74 and 3,193 is: 4,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,118.68 : 15,178.74 = 3,193 : x
  2. Step 2: Convert to fraction form
    10,118.68/15,178.74 = 3,193/x
  3. Step 3: Cross multiply
    10,118.68x = 15,178.74 × 3,193
  4. Step 4: Simplify right side
    10,118.68x = 48,465,716.82
  5. Step 5: Solve for x
    x = 48,465,716.82/10,118.68
  6. Step 6: Final answer
    x = 4,789.73

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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.