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Finding the Fourth Proportional to 8,464.96, 12,693.92 and 3,199.06

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Solution

The fourth proportional to 8,464.96, 12,693.92 and 3,199.06 is: 4,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.96 : 12,693.92 = 3,199.06 : x
  2. Step 2: Convert to fraction form
    8,464.96/12,693.92 = 3,199.06/x
  3. Step 3: Cross multiply
    8,464.96x = 12,693.92 × 3,199.06
  4. Step 4: Simplify right side
    8,464.96x = 40,608,587.98
  5. Step 5: Solve for x
    x = 40,608,587.98/8,464.96
  6. Step 6: Final answer
    x = 4,797.26

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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.