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Finding the Fourth Proportional to 11,843.76, 17,782.02 and 6,004.44

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Solution

The fourth proportional to 11,843.76, 17,782.02 and 6,004.44 is: 9,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.76 : 17,782.02 = 6,004.44 : x
  2. Step 2: Convert to fraction form
    11,843.76/17,782.02 = 6,004.44/x
  3. Step 3: Cross multiply
    11,843.76x = 17,782.02 × 6,004.44
  4. Step 4: Simplify right side
    11,843.76x = 106,771,072.17
  5. Step 5: Solve for x
    x = 106,771,072.17/11,843.76
  6. Step 6: Final answer
    x = 9,014.96

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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.