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Finding the Fourth Proportional to 11,410.40, 17,114.44 and 7,736.24

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Solution

The fourth proportional to 11,410.40, 17,114.44 and 7,736.24 is: 11,603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.40 : 17,114.44 = 7,736.24 : x
  2. Step 2: Convert to fraction form
    11,410.40/17,114.44 = 7,736.24/x
  3. Step 3: Cross multiply
    11,410.40x = 17,114.44 × 7,736.24
  4. Step 4: Simplify right side
    11,410.40x = 132,401,415.31
  5. Step 5: Solve for x
    x = 132,401,415.31/11,410.40
  6. Step 6: Final answer
    x = 11,603.57

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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.