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Finding the Fourth Proportional to 10,194.33, 15,297.99 and 4,648.23

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Solution

The fourth proportional to 10,194.33, 15,297.99 and 4,648.23 is: 6,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.33 : 15,297.99 = 4,648.23 : x
  2. Step 2: Convert to fraction form
    10,194.33/15,297.99 = 4,648.23/x
  3. Step 3: Cross multiply
    10,194.33x = 15,297.99 × 4,648.23
  4. Step 4: Simplify right side
    10,194.33x = 71,108,576.06
  5. Step 5: Solve for x
    x = 71,108,576.06/10,194.33
  6. Step 6: Final answer
    x = 6,975.31

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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.