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Finding the Fourth Proportional to 8,049.78, 12,073.44 and 2,713.08

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Solution

The fourth proportional to 8,049.78, 12,073.44 and 2,713.08 is: 4,069.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.78 : 12,073.44 = 2,713.08 : x
  2. Step 2: Convert to fraction form
    8,049.78/12,073.44 = 2,713.08/x
  3. Step 3: Cross multiply
    8,049.78x = 12,073.44 × 2,713.08
  4. Step 4: Simplify right side
    8,049.78x = 32,756,208.60
  5. Step 5: Solve for x
    x = 32,756,208.60/8,049.78
  6. Step 6: Final answer
    x = 4,069.21

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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.