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Finding the Fourth Proportional to 11,617.14, 17,424.36 and 3,297.90

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Solution

The fourth proportional to 11,617.14, 17,424.36 and 3,297.90 is: 4,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.14 : 17,424.36 = 3,297.90 : x
  2. Step 2: Convert to fraction form
    11,617.14/17,424.36 = 3,297.90/x
  3. Step 3: Cross multiply
    11,617.14x = 17,424.36 × 3,297.90
  4. Step 4: Simplify right side
    11,617.14x = 57,463,796.84
  5. Step 5: Solve for x
    x = 57,463,796.84/11,617.14
  6. Step 6: Final answer
    x = 4,946.47

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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.