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Finding the Fourth Proportional to 6,923.26, 10,384.62 and 2,306.26

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Solution

The fourth proportional to 6,923.26, 10,384.62 and 2,306.26 is: 3,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923.26 : 10,384.62 = 2,306.26 : x
  2. Step 2: Convert to fraction form
    6,923.26/10,384.62 = 2,306.26/x
  3. Step 3: Cross multiply
    6,923.26x = 10,384.62 × 2,306.26
  4. Step 4: Simplify right side
    6,923.26x = 23,949,633.72
  5. Step 5: Solve for x
    x = 23,949,633.72/6,923.26
  6. Step 6: Final answer
    x = 3,459.30

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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.