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Finding the Fourth Proportional to 6,694.19, 10,045.92 and 2,311.69

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Solution

The fourth proportional to 6,694.19, 10,045.92 and 2,311.69 is: 3,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.19 : 10,045.92 = 2,311.69 : x
  2. Step 2: Convert to fraction form
    6,694.19/10,045.92 = 2,311.69/x
  3. Step 3: Cross multiply
    6,694.19x = 10,045.92 × 2,311.69
  4. Step 4: Simplify right side
    6,694.19x = 23,223,055.19
  5. Step 5: Solve for x
    x = 23,223,055.19/6,694.19
  6. Step 6: Final answer
    x = 3,469.13

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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.