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Finding the Fourth Proportional to 11,396.37, 17,093.17 and 3,075.75

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Solution

The fourth proportional to 11,396.37, 17,093.17 and 3,075.75 is: 4,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.37 : 17,093.17 = 3,075.75 : x
  2. Step 2: Convert to fraction form
    11,396.37/17,093.17 = 3,075.75/x
  3. Step 3: Cross multiply
    11,396.37x = 17,093.17 × 3,075.75
  4. Step 4: Simplify right side
    11,396.37x = 52,574,317.63
  5. Step 5: Solve for x
    x = 52,574,317.63/11,396.37
  6. Step 6: Final answer
    x = 4,613.25

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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.