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Finding the Fourth Proportional to 11,686.82, 17,525.91 and 3,364.03

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Solution

The fourth proportional to 11,686.82, 17,525.91 and 3,364.03 is: 5,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.82 : 17,525.91 = 3,364.03 : x
  2. Step 2: Convert to fraction form
    11,686.82/17,525.91 = 3,364.03/x
  3. Step 3: Cross multiply
    11,686.82x = 17,525.91 × 3,364.03
  4. Step 4: Simplify right side
    11,686.82x = 58,957,687.02
  5. Step 5: Solve for x
    x = 58,957,687.02/11,686.82
  6. Step 6: Final answer
    x = 5,044.80

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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.