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Finding the Fourth Proportional to 10,681.90, 16,023.11 and 3,286.42

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Solution

The fourth proportional to 10,681.90, 16,023.11 and 3,286.42 is: 4,929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.90 : 16,023.11 = 3,286.42 : x
  2. Step 2: Convert to fraction form
    10,681.90/16,023.11 = 3,286.42/x
  3. Step 3: Cross multiply
    10,681.90x = 16,023.11 × 3,286.42
  4. Step 4: Simplify right side
    10,681.90x = 52,658,612.68
  5. Step 5: Solve for x
    x = 52,658,612.68/10,681.90
  6. Step 6: Final answer
    x = 4,929.71

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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.