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Finding the Fourth Proportional to 10,940.12, 16,415.04 and 4,013

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Solution

The fourth proportional to 10,940.12, 16,415.04 and 4,013 is: 6,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.12 : 16,415.04 = 4,013 : x
  2. Step 2: Convert to fraction form
    10,940.12/16,415.04 = 4,013/x
  3. Step 3: Cross multiply
    10,940.12x = 16,415.04 × 4,013
  4. Step 4: Simplify right side
    10,940.12x = 65,873,555.52
  5. Step 5: Solve for x
    x = 65,873,555.52/10,940.12
  6. Step 6: Final answer
    x = 6,021.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.