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Finding the Fourth Proportional to 8,272.50, 12,408.81 and 2,429.20

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Solution

The fourth proportional to 8,272.50, 12,408.81 and 2,429.20 is: 3,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.50 : 12,408.81 = 2,429.20 : x
  2. Step 2: Convert to fraction form
    8,272.50/12,408.81 = 2,429.20/x
  3. Step 3: Cross multiply
    8,272.50x = 12,408.81 × 2,429.20
  4. Step 4: Simplify right side
    8,272.50x = 30,143,481.25
  5. Step 5: Solve for x
    x = 30,143,481.25/8,272.50
  6. Step 6: Final answer
    x = 3,643.82

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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.