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Finding the Fourth Proportional to 8,519.10, 12,794.49 and 5,077.50

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Solution

The fourth proportional to 8,519.10, 12,794.49 and 5,077.50 is: 7,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.10 : 12,794.49 = 5,077.50 : x
  2. Step 2: Convert to fraction form
    8,519.10/12,794.49 = 5,077.50/x
  3. Step 3: Cross multiply
    8,519.10x = 12,794.49 × 5,077.50
  4. Step 4: Simplify right side
    8,519.10x = 64,964,022.98
  5. Step 5: Solve for x
    x = 64,964,022.98/8,519.10
  6. Step 6: Final answer
    x = 7,625.69

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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.