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Finding the Fourth Proportional to 8,520.46, 12,776.36 and 3,899.50

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Solution

The fourth proportional to 8,520.46, 12,776.36 and 3,899.50 is: 5,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.46 : 12,776.36 = 3,899.50 : x
  2. Step 2: Convert to fraction form
    8,520.46/12,776.36 = 3,899.50/x
  3. Step 3: Cross multiply
    8,520.46x = 12,776.36 × 3,899.50
  4. Step 4: Simplify right side
    8,520.46x = 49,821,415.82
  5. Step 5: Solve for x
    x = 49,821,415.82/8,520.46
  6. Step 6: Final answer
    x = 5,847.27

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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.