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Finding the Fourth Proportional to 8,023.68, 12,037.56 and 2,830.08

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Solution

The fourth proportional to 8,023.68, 12,037.56 and 2,830.08 is: 4,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.68 : 12,037.56 = 2,830.08 : x
  2. Step 2: Convert to fraction form
    8,023.68/12,037.56 = 2,830.08/x
  3. Step 3: Cross multiply
    8,023.68x = 12,037.56 × 2,830.08
  4. Step 4: Simplify right side
    8,023.68x = 34,067,257.80
  5. Step 5: Solve for x
    x = 34,067,257.80/8,023.68
  6. Step 6: Final answer
    x = 4,245.84

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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.