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Finding the Fourth Proportional to 8,380.64, 12,570.55 and 2,537.71

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Solution

The fourth proportional to 8,380.64, 12,570.55 and 2,537.71 is: 3,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.64 : 12,570.55 = 2,537.71 : x
  2. Step 2: Convert to fraction form
    8,380.64/12,570.55 = 2,537.71/x
  3. Step 3: Cross multiply
    8,380.64x = 12,570.55 × 2,537.71
  4. Step 4: Simplify right side
    8,380.64x = 31,900,410.44
  5. Step 5: Solve for x
    x = 31,900,410.44/8,380.64
  6. Step 6: Final answer
    x = 3,806.44

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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.