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Finding the Fourth Proportional to 11,578.96, 17,396.14 and 7,427.10

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Solution

The fourth proportional to 11,578.96, 17,396.14 and 7,427.10 is: 11,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.96 : 17,396.14 = 7,427.10 : x
  2. Step 2: Convert to fraction form
    11,578.96/17,396.14 = 7,427.10/x
  3. Step 3: Cross multiply
    11,578.96x = 17,396.14 × 7,427.10
  4. Step 4: Simplify right side
    11,578.96x = 129,202,871.39
  5. Step 5: Solve for x
    x = 129,202,871.39/11,578.96
  6. Step 6: Final answer
    x = 11,158.42

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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.