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Finding the Fourth Proportional to 8,049.12, 12,069.76 and 3,367.76

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Solution

The fourth proportional to 8,049.12, 12,069.76 and 3,367.76 is: 5,050.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.12 : 12,069.76 = 3,367.76 : x
  2. Step 2: Convert to fraction form
    8,049.12/12,069.76 = 3,367.76/x
  3. Step 3: Cross multiply
    8,049.12x = 12,069.76 × 3,367.76
  4. Step 4: Simplify right side
    8,049.12x = 40,648,054.94
  5. Step 5: Solve for x
    x = 40,648,054.94/8,049.12
  6. Step 6: Final answer
    x = 5,050.00

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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.