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Finding the Fourth Proportional to 8,380.74, 12,573.45 and 2,537.40

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Solution

The fourth proportional to 8,380.74, 12,573.45 and 2,537.40 is: 3,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.74 : 12,573.45 = 2,537.40 : x
  2. Step 2: Convert to fraction form
    8,380.74/12,573.45 = 2,537.40/x
  3. Step 3: Cross multiply
    8,380.74x = 12,573.45 × 2,537.40
  4. Step 4: Simplify right side
    8,380.74x = 31,903,872.03
  5. Step 5: Solve for x
    x = 31,903,872.03/8,380.74
  6. Step 6: Final answer
    x = 3,806.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.