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Finding the Fourth Proportional to 7,203.63, 10,806.51 and 2,272.15

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Solution

The fourth proportional to 7,203.63, 10,806.51 and 2,272.15 is: 3,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.63 : 10,806.51 = 2,272.15 : x
  2. Step 2: Convert to fraction form
    7,203.63/10,806.51 = 2,272.15/x
  3. Step 3: Cross multiply
    7,203.63x = 10,806.51 × 2,272.15
  4. Step 4: Simplify right side
    7,203.63x = 24,554,033.73
  5. Step 5: Solve for x
    x = 24,554,033.73/7,203.63
  6. Step 6: Final answer
    x = 3,408.56

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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.