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Finding the Fourth Proportional to 7,203.50, 10,806.24 and 2,522.82

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Solution

The fourth proportional to 7,203.50, 10,806.24 and 2,522.82 is: 3,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.50 : 10,806.24 = 2,522.82 : x
  2. Step 2: Convert to fraction form
    7,203.50/10,806.24 = 2,522.82/x
  3. Step 3: Cross multiply
    7,203.50x = 10,806.24 × 2,522.82
  4. Step 4: Simplify right side
    7,203.50x = 27,262,198.40
  5. Step 5: Solve for x
    x = 27,262,198.40/7,203.50
  6. Step 6: Final answer
    x = 3,784.58

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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.