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Finding the Fourth Proportional to 8,176.26, 12,266.40 and 3,792.80

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Solution

The fourth proportional to 8,176.26, 12,266.40 and 3,792.80 is: 5,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.26 : 12,266.40 = 3,792.80 : x
  2. Step 2: Convert to fraction form
    8,176.26/12,266.40 = 3,792.80/x
  3. Step 3: Cross multiply
    8,176.26x = 12,266.40 × 3,792.80
  4. Step 4: Simplify right side
    8,176.26x = 46,524,001.92
  5. Step 5: Solve for x
    x = 46,524,001.92/8,176.26
  6. Step 6: Final answer
    x = 5,690.13

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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.