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Finding the Fourth Proportional to 8,149.57, 11,246.25 and 4,792.75

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Solution

The fourth proportional to 8,149.57, 11,246.25 and 4,792.75 is: 6,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.57 : 11,246.25 = 4,792.75 : x
  2. Step 2: Convert to fraction form
    8,149.57/11,246.25 = 4,792.75/x
  3. Step 3: Cross multiply
    8,149.57x = 11,246.25 × 4,792.75
  4. Step 4: Simplify right side
    8,149.57x = 53,900,464.69
  5. Step 5: Solve for x
    x = 53,900,464.69/8,149.57
  6. Step 6: Final answer
    x = 6,613.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.