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Finding the Fourth Proportional to 11,596.14, 17,396.38 and 5,271.48

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Solution

The fourth proportional to 11,596.14, 17,396.38 and 5,271.48 is: 7,908.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.14 : 17,396.38 = 5,271.48 : x
  2. Step 2: Convert to fraction form
    11,596.14/17,396.38 = 5,271.48/x
  3. Step 3: Cross multiply
    11,596.14x = 17,396.38 × 5,271.48
  4. Step 4: Simplify right side
    11,596.14x = 91,704,669.24
  5. Step 5: Solve for x
    x = 91,704,669.24/11,596.14
  6. Step 6: Final answer
    x = 7,908.21

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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.