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Finding the Fourth Proportional to 8,380.50, 12,570.82 and 2,537.58

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Solution

The fourth proportional to 8,380.50, 12,570.82 and 2,537.58 is: 3,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.50 : 12,570.82 = 2,537.58 : x
  2. Step 2: Convert to fraction form
    8,380.50/12,570.82 = 2,537.58/x
  3. Step 3: Cross multiply
    8,380.50x = 12,570.82 × 2,537.58
  4. Step 4: Simplify right side
    8,380.50x = 31,899,461.42
  5. Step 5: Solve for x
    x = 31,899,461.42/8,380.50
  6. Step 6: Final answer
    x = 3,806.39

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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.