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Finding the Fourth Proportional to 6,758.63, 10,139.57 and 2,141.63

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Solution

The fourth proportional to 6,758.63, 10,139.57 and 2,141.63 is: 3,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.63 : 10,139.57 = 2,141.63 : x
  2. Step 2: Convert to fraction form
    6,758.63/10,139.57 = 2,141.63/x
  3. Step 3: Cross multiply
    6,758.63x = 10,139.57 × 2,141.63
  4. Step 4: Simplify right side
    6,758.63x = 21,715,145.89
  5. Step 5: Solve for x
    x = 21,715,145.89/6,758.63
  6. Step 6: Final answer
    x = 3,212.95

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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.