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Finding the Fourth Proportional to 11,592.82, 17,389.21 and 4,195.56

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Solution

The fourth proportional to 11,592.82, 17,389.21 and 4,195.56 is: 6,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.82 : 17,389.21 = 4,195.56 : x
  2. Step 2: Convert to fraction form
    11,592.82/17,389.21 = 4,195.56/x
  3. Step 3: Cross multiply
    11,592.82x = 17,389.21 × 4,195.56
  4. Step 4: Simplify right side
    11,592.82x = 72,957,473.91
  5. Step 5: Solve for x
    x = 72,957,473.91/11,592.82
  6. Step 6: Final answer
    x = 6,293.33

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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.