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Finding the Fourth Proportional to 7,769.99, 11,653.02 and 2,223.37

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Solution

The fourth proportional to 7,769.99, 11,653.02 and 2,223.37 is: 3,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.99 : 11,653.02 = 2,223.37 : x
  2. Step 2: Convert to fraction form
    7,769.99/11,653.02 = 2,223.37/x
  3. Step 3: Cross multiply
    7,769.99x = 11,653.02 × 2,223.37
  4. Step 4: Simplify right side
    7,769.99x = 25,908,975.08
  5. Step 5: Solve for x
    x = 25,908,975.08/7,769.99
  6. Step 6: Final answer
    x = 3,334.49

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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.