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Finding the Fourth Proportional to 7,234.78, 10,852.26 and 2,304.40

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Solution

The fourth proportional to 7,234.78, 10,852.26 and 2,304.40 is: 3,456.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.78 : 10,852.26 = 2,304.40 : x
  2. Step 2: Convert to fraction form
    7,234.78/10,852.26 = 2,304.40/x
  3. Step 3: Cross multiply
    7,234.78x = 10,852.26 × 2,304.40
  4. Step 4: Simplify right side
    7,234.78x = 25,007,947.94
  5. Step 5: Solve for x
    x = 25,007,947.94/7,234.78
  6. Step 6: Final answer
    x = 3,456.63

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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.