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Finding the Fourth Proportional to 10,940.20, 16,412.64 and 4,014.70

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Solution

The fourth proportional to 10,940.20, 16,412.64 and 4,014.70 is: 6,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.20 : 16,412.64 = 4,014.70 : x
  2. Step 2: Convert to fraction form
    10,940.20/16,412.64 = 4,014.70/x
  3. Step 3: Cross multiply
    10,940.20x = 16,412.64 × 4,014.70
  4. Step 4: Simplify right side
    10,940.20x = 65,891,825.81
  5. Step 5: Solve for x
    x = 65,891,825.81/10,940.20
  6. Step 6: Final answer
    x = 6,022.91

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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.