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Finding the Fourth Proportional to 6,758.10, 10,137.15 and 2,141.10

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Solution

The fourth proportional to 6,758.10, 10,137.15 and 2,141.10 is: 3,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.10 : 10,137.15 = 2,141.10 : x
  2. Step 2: Convert to fraction form
    6,758.10/10,137.15 = 2,141.10/x
  3. Step 3: Cross multiply
    6,758.10x = 10,137.15 × 2,141.10
  4. Step 4: Simplify right side
    6,758.10x = 21,704,651.87
  5. Step 5: Solve for x
    x = 21,704,651.87/6,758.10
  6. Step 6: Final answer
    x = 3,211.65

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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.