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Finding the Fourth Proportional to 6,817.70, 10,226.55 and 2,138.10

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Solution

The fourth proportional to 6,817.70, 10,226.55 and 2,138.10 is: 3,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.70 : 10,226.55 = 2,138.10 : x
  2. Step 2: Convert to fraction form
    6,817.70/10,226.55 = 2,138.10/x
  3. Step 3: Cross multiply
    6,817.70x = 10,226.55 × 2,138.10
  4. Step 4: Simplify right side
    6,817.70x = 21,865,386.56
  5. Step 5: Solve for x
    x = 21,865,386.56/6,817.70
  6. Step 6: Final answer
    x = 3,207.15

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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.