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Finding the Fourth Proportional to 11,617.57, 17,426.32 and 3,297.60

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Solution

The fourth proportional to 11,617.57, 17,426.32 and 3,297.60 is: 4,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.57 : 17,426.32 = 3,297.60 : x
  2. Step 2: Convert to fraction form
    11,617.57/17,426.32 = 3,297.60/x
  3. Step 3: Cross multiply
    11,617.57x = 17,426.32 × 3,297.60
  4. Step 4: Simplify right side
    11,617.57x = 57,464,945.70
  5. Step 5: Solve for x
    x = 57,464,945.70/11,617.57
  6. Step 6: Final answer
    x = 4,946.38

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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.