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Finding the Fourth Proportional to 11,843.04, 17,769.12 and 4,047.36

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Solution

The fourth proportional to 11,843.04, 17,769.12 and 4,047.36 is: 6,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.04 : 17,769.12 = 4,047.36 : x
  2. Step 2: Convert to fraction form
    11,843.04/17,769.12 = 4,047.36/x
  3. Step 3: Cross multiply
    11,843.04x = 17,769.12 × 4,047.36
  4. Step 4: Simplify right side
    11,843.04x = 71,918,025.52
  5. Step 5: Solve for x
    x = 71,918,025.52/11,843.04
  6. Step 6: Final answer
    x = 6,072.60

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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.