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Finding the Fourth Proportional to 7,243.97, 10,864.67 and 2,048.63

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Solution

The fourth proportional to 7,243.97, 10,864.67 and 2,048.63 is: 3,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.97 : 10,864.67 = 2,048.63 : x
  2. Step 2: Convert to fraction form
    7,243.97/10,864.67 = 2,048.63/x
  3. Step 3: Cross multiply
    7,243.97x = 10,864.67 × 2,048.63
  4. Step 4: Simplify right side
    7,243.97x = 22,257,624.34
  5. Step 5: Solve for x
    x = 22,257,624.34/7,243.97
  6. Step 6: Final answer
    x = 3,072.57

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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.