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Finding the Fourth Proportional to 6,817.35, 10,226.67 and 2,657.70

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Solution

The fourth proportional to 6,817.35, 10,226.67 and 2,657.70 is: 3,986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.35 : 10,226.67 = 2,657.70 : x
  2. Step 2: Convert to fraction form
    6,817.35/10,226.67 = 2,657.70/x
  3. Step 3: Cross multiply
    6,817.35x = 10,226.67 × 2,657.70
  4. Step 4: Simplify right side
    6,817.35x = 27,179,420.86
  5. Step 5: Solve for x
    x = 27,179,420.86/6,817.35
  6. Step 6: Final answer
    x = 3,986.80

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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.