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Finding the Fourth Proportional to 11,969.44, 17,946.06 and 4,174

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Solution

The fourth proportional to 11,969.44, 17,946.06 and 4,174 is: 6,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.44 : 17,946.06 = 4,174 : x
  2. Step 2: Convert to fraction form
    11,969.44/17,946.06 = 4,174/x
  3. Step 3: Cross multiply
    11,969.44x = 17,946.06 × 4,174
  4. Step 4: Simplify right side
    11,969.44x = 74,906,854.44
  5. Step 5: Solve for x
    x = 74,906,854.44/11,969.44
  6. Step 6: Final answer
    x = 6,258.18

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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.