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Finding the Fourth Proportional to 11,858.34, 17,786.30 and 3,092.52

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Solution

The fourth proportional to 11,858.34, 17,786.30 and 3,092.52 is: 4,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.34 : 17,786.30 = 3,092.52 : x
  2. Step 2: Convert to fraction form
    11,858.34/17,786.30 = 3,092.52/x
  3. Step 3: Cross multiply
    11,858.34x = 17,786.30 × 3,092.52
  4. Step 4: Simplify right side
    11,858.34x = 55,004,473.01
  5. Step 5: Solve for x
    x = 55,004,473.01/11,858.34
  6. Step 6: Final answer
    x = 4,638.46

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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.