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Finding the Fourth Proportional to 7,243.56, 10,865.76 and 2,049

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Solution

The fourth proportional to 7,243.56, 10,865.76 and 2,049 is: 3,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.56 : 10,865.76 = 2,049 : x
  2. Step 2: Convert to fraction form
    7,243.56/10,865.76 = 2,049/x
  3. Step 3: Cross multiply
    7,243.56x = 10,865.76 × 2,049
  4. Step 4: Simplify right side
    7,243.56x = 22,263,942.24
  5. Step 5: Solve for x
    x = 22,263,942.24/7,243.56
  6. Step 6: Final answer
    x = 3,073.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.