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Finding the Fourth Proportional to 7,234.80, 10,852.19 and 2,304.44

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Solution

The fourth proportional to 7,234.80, 10,852.19 and 2,304.44 is: 3,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.80 : 10,852.19 = 2,304.44 : x
  2. Step 2: Convert to fraction form
    7,234.80/10,852.19 = 2,304.44/x
  3. Step 3: Cross multiply
    7,234.80x = 10,852.19 × 2,304.44
  4. Step 4: Simplify right side
    7,234.80x = 25,008,220.72
  5. Step 5: Solve for x
    x = 25,008,220.72/7,234.80
  6. Step 6: Final answer
    x = 3,456.66

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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.