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Finding the Fourth Proportional to 7,222.70, 10,833.89 and 2,292.37

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Solution

The fourth proportional to 7,222.70, 10,833.89 and 2,292.37 is: 3,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.70 : 10,833.89 = 2,292.37 : x
  2. Step 2: Convert to fraction form
    7,222.70/10,833.89 = 2,292.37/x
  3. Step 3: Cross multiply
    7,222.70x = 10,833.89 × 2,292.37
  4. Step 4: Simplify right side
    7,222.70x = 24,835,245.87
  5. Step 5: Solve for x
    x = 24,835,245.87/7,222.70
  6. Step 6: Final answer
    x = 3,438.50

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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.