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Finding the Fourth Proportional to 7,313.50, 10,976.46 and 2,933.92

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Solution

The fourth proportional to 7,313.50, 10,976.46 and 2,933.92 is: 4,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.50 : 10,976.46 = 2,933.92 : x
  2. Step 2: Convert to fraction form
    7,313.50/10,976.46 = 2,933.92/x
  3. Step 3: Cross multiply
    7,313.50x = 10,976.46 × 2,933.92
  4. Step 4: Simplify right side
    7,313.50x = 32,204,055.52
  5. Step 5: Solve for x
    x = 32,204,055.52/7,313.50
  6. Step 6: Final answer
    x = 4,403.37

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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.