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Finding the Fourth Proportional to 8,176.96, 12,256.92 and 3,790.80

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Solution

The fourth proportional to 8,176.96, 12,256.92 and 3,790.80 is: 5,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.96 : 12,256.92 = 3,790.80 : x
  2. Step 2: Convert to fraction form
    8,176.96/12,256.92 = 3,790.80/x
  3. Step 3: Cross multiply
    8,176.96x = 12,256.92 × 3,790.80
  4. Step 4: Simplify right side
    8,176.96x = 46,463,532.34
  5. Step 5: Solve for x
    x = 46,463,532.34/8,176.96
  6. Step 6: Final answer
    x = 5,682.25

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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.