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Finding the Fourth Proportional to 8,057.83, 12,072.44 and 3,367.50

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Solution

The fourth proportional to 8,057.83, 12,072.44 and 3,367.50 is: 5,045.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.83 : 12,072.44 = 3,367.50 : x
  2. Step 2: Convert to fraction form
    8,057.83/12,072.44 = 3,367.50/x
  3. Step 3: Cross multiply
    8,057.83x = 12,072.44 × 3,367.50
  4. Step 4: Simplify right side
    8,057.83x = 40,653,950.12
  5. Step 5: Solve for x
    x = 40,653,950.12/8,057.83
  6. Step 6: Final answer
    x = 5,045.27

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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.