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Finding the Fourth Proportional to 8,171.64, 12,250.58 and 3,792.24

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Solution

The fourth proportional to 8,171.64, 12,250.58 and 3,792.24 is: 5,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.64 : 12,250.58 = 3,792.24 : x
  2. Step 2: Convert to fraction form
    8,171.64/12,250.58 = 3,792.24/x
  3. Step 3: Cross multiply
    8,171.64x = 12,250.58 × 3,792.24
  4. Step 4: Simplify right side
    8,171.64x = 46,457,120.54
  5. Step 5: Solve for x
    x = 46,457,120.54/8,171.64
  6. Step 6: Final answer
    x = 5,685.16

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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.