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Finding the Fourth Proportional to 8,380.84, 12,571.30 and 2,537.50

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Solution

The fourth proportional to 8,380.84, 12,571.30 and 2,537.50 is: 3,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.84 : 12,571.30 = 2,537.50 : x
  2. Step 2: Convert to fraction form
    8,380.84/12,571.30 = 2,537.50/x
  3. Step 3: Cross multiply
    8,380.84x = 12,571.30 × 2,537.50
  4. Step 4: Simplify right side
    8,380.84x = 31,899,673.75
  5. Step 5: Solve for x
    x = 31,899,673.75/8,380.84
  6. Step 6: Final answer
    x = 3,806.26

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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.