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Finding the Fourth Proportional to 11,803.44, 17,707 and 4,010.44

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Solution

The fourth proportional to 11,803.44, 17,707 and 4,010.44 is: 6,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.44 : 17,707 = 4,010.44 : x
  2. Step 2: Convert to fraction form
    11,803.44/17,707 = 4,010.44/x
  3. Step 3: Cross multiply
    11,803.44x = 17,707 × 4,010.44
  4. Step 4: Simplify right side
    11,803.44x = 71,012,861.08
  5. Step 5: Solve for x
    x = 71,012,861.08/11,803.44
  6. Step 6: Final answer
    x = 6,016.29

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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.