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Finding the Fourth Proportional to 12,530.67, 18,797.63 and 3,766.47

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Solution

The fourth proportional to 12,530.67, 18,797.63 and 3,766.47 is: 5,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.67 : 18,797.63 = 3,766.47 : x
  2. Step 2: Convert to fraction form
    12,530.67/18,797.63 = 3,766.47/x
  3. Step 3: Cross multiply
    12,530.67x = 18,797.63 × 3,766.47
  4. Step 4: Simplify right side
    12,530.67x = 70,800,709.47
  5. Step 5: Solve for x
    x = 70,800,709.47/12,530.67
  6. Step 6: Final answer
    x = 5,650.19

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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.