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Finding the Fourth Proportional to 8,380.80, 12,573.27 and 2,537.43

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Solution

The fourth proportional to 8,380.80, 12,573.27 and 2,537.43 is: 3,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.80 : 12,573.27 = 2,537.43 : x
  2. Step 2: Convert to fraction form
    8,380.80/12,573.27 = 2,537.43/x
  3. Step 3: Cross multiply
    8,380.80x = 12,573.27 × 2,537.43
  4. Step 4: Simplify right side
    8,380.80x = 31,903,792.50
  5. Step 5: Solve for x
    x = 31,903,792.50/8,380.80
  6. Step 6: Final answer
    x = 3,806.77

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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.