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Finding the Fourth Proportional to 6,858.88, 10,286.70 and 3,158.80

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Solution

The fourth proportional to 6,858.88, 10,286.70 and 3,158.80 is: 4,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.88 : 10,286.70 = 3,158.80 : x
  2. Step 2: Convert to fraction form
    6,858.88/10,286.70 = 3,158.80/x
  3. Step 3: Cross multiply
    6,858.88x = 10,286.70 × 3,158.80
  4. Step 4: Simplify right side
    6,858.88x = 32,493,627.96
  5. Step 5: Solve for x
    x = 32,493,627.96/6,858.88
  6. Step 6: Final answer
    x = 4,737.45

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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.