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Finding the Fourth Proportional to 8,175.74, 12,265.43 and 3,790.80

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Solution

The fourth proportional to 8,175.74, 12,265.43 and 3,790.80 is: 5,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.74 : 12,265.43 = 3,790.80 : x
  2. Step 2: Convert to fraction form
    8,175.74/12,265.43 = 3,790.80/x
  3. Step 3: Cross multiply
    8,175.74x = 12,265.43 × 3,790.80
  4. Step 4: Simplify right side
    8,175.74x = 46,495,773.09
  5. Step 5: Solve for x
    x = 46,495,773.09/8,175.74
  6. Step 6: Final answer
    x = 5,687.05

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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.