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Finding the Fourth Proportional to 6,794.42, 10,193.15 and 2,411.87

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Solution

The fourth proportional to 6,794.42, 10,193.15 and 2,411.87 is: 3,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.42 : 10,193.15 = 2,411.87 : x
  2. Step 2: Convert to fraction form
    6,794.42/10,193.15 = 2,411.87/x
  3. Step 3: Cross multiply
    6,794.42x = 10,193.15 × 2,411.87
  4. Step 4: Simplify right side
    6,794.42x = 24,584,489.67
  5. Step 5: Solve for x
    x = 24,584,489.67/6,794.42
  6. Step 6: Final answer
    x = 3,618.34

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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.