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Finding the Fourth Proportional to 10,906.39, 16,344.07 and 4,574.44

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Solution

The fourth proportional to 10,906.39, 16,344.07 and 4,574.44 is: 6,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.39 : 16,344.07 = 4,574.44 : x
  2. Step 2: Convert to fraction form
    10,906.39/16,344.07 = 4,574.44/x
  3. Step 3: Cross multiply
    10,906.39x = 16,344.07 × 4,574.44
  4. Step 4: Simplify right side
    10,906.39x = 74,764,967.57
  5. Step 5: Solve for x
    x = 74,764,967.57/10,906.39
  6. Step 6: Final answer
    x = 6,855.15

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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.