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Finding the Fourth Proportional to 8,029.20, 12,043.80 and 3,856.50

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Solution

The fourth proportional to 8,029.20, 12,043.80 and 3,856.50 is: 5,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.20 : 12,043.80 = 3,856.50 : x
  2. Step 2: Convert to fraction form
    8,029.20/12,043.80 = 3,856.50/x
  3. Step 3: Cross multiply
    8,029.20x = 12,043.80 × 3,856.50
  4. Step 4: Simplify right side
    8,029.20x = 46,446,914.70
  5. Step 5: Solve for x
    x = 46,446,914.70/8,029.20
  6. Step 6: Final answer
    x = 5,784.75

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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.