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Finding the Fourth Proportional to 8,494.96, 12,743.52 and 2,651.08

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Solution

The fourth proportional to 8,494.96, 12,743.52 and 2,651.08 is: 3,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.96 : 12,743.52 = 2,651.08 : x
  2. Step 2: Convert to fraction form
    8,494.96/12,743.52 = 2,651.08/x
  3. Step 3: Cross multiply
    8,494.96x = 12,743.52 × 2,651.08
  4. Step 4: Simplify right side
    8,494.96x = 33,784,091.00
  5. Step 5: Solve for x
    x = 33,784,091.00/8,494.96
  6. Step 6: Final answer
    x = 3,976.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.