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Finding the Fourth Proportional to 10,940.13, 16,412.36 and 4,014.69

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Solution

The fourth proportional to 10,940.13, 16,412.36 and 4,014.69 is: 6,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.13 : 16,412.36 = 4,014.69 : x
  2. Step 2: Convert to fraction form
    10,940.13/16,412.36 = 4,014.69/x
  3. Step 3: Cross multiply
    10,940.13x = 16,412.36 × 4,014.69
  4. Step 4: Simplify right side
    10,940.13x = 65,890,537.57
  5. Step 5: Solve for x
    x = 65,890,537.57/10,940.13
  6. Step 6: Final answer
    x = 6,022.83

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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.