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Finding the Fourth Proportional to 10,682.26, 16,023.39 and 4,111.54

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Solution

The fourth proportional to 10,682.26, 16,023.39 and 4,111.54 is: 6,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.26 : 16,023.39 = 4,111.54 : x
  2. Step 2: Convert to fraction form
    10,682.26/16,023.39 = 4,111.54/x
  3. Step 3: Cross multiply
    10,682.26x = 16,023.39 × 4,111.54
  4. Step 4: Simplify right side
    10,682.26x = 65,880,808.92
  5. Step 5: Solve for x
    x = 65,880,808.92/10,682.26
  6. Step 6: Final answer
    x = 6,167.31

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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.