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Finding the Fourth Proportional to 8,128.50, 12,193.19 and 2,582.28

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Solution

The fourth proportional to 8,128.50, 12,193.19 and 2,582.28 is: 3,873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.50 : 12,193.19 = 2,582.28 : x
  2. Step 2: Convert to fraction form
    8,128.50/12,193.19 = 2,582.28/x
  3. Step 3: Cross multiply
    8,128.50x = 12,193.19 × 2,582.28
  4. Step 4: Simplify right side
    8,128.50x = 31,486,217.76
  5. Step 5: Solve for x
    x = 31,486,217.76/8,128.50
  6. Step 6: Final answer
    x = 3,873.56

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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.