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Finding the Fourth Proportional to 8,416.72, 12,627.42 and 3,673.29

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Solution

The fourth proportional to 8,416.72, 12,627.42 and 3,673.29 is: 5,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.72 : 12,627.42 = 3,673.29 : x
  2. Step 2: Convert to fraction form
    8,416.72/12,627.42 = 3,673.29/x
  3. Step 3: Cross multiply
    8,416.72x = 12,627.42 × 3,673.29
  4. Step 4: Simplify right side
    8,416.72x = 46,384,188.81
  5. Step 5: Solve for x
    x = 46,384,188.81/8,416.72
  6. Step 6: Final answer
    x = 5,510.96

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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.