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Finding the Fourth Proportional to 8,406.87, 12,609.50 and 2,563.53

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Solution

The fourth proportional to 8,406.87, 12,609.50 and 2,563.53 is: 3,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.87 : 12,609.50 = 2,563.53 : x
  2. Step 2: Convert to fraction form
    8,406.87/12,609.50 = 2,563.53/x
  3. Step 3: Cross multiply
    8,406.87x = 12,609.50 × 2,563.53
  4. Step 4: Simplify right side
    8,406.87x = 32,324,818.72
  5. Step 5: Solve for x
    x = 32,324,818.72/8,406.87
  6. Step 6: Final answer
    x = 3,845.05

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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.