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Finding the Fourth Proportional to 8,494.96, 11,727.84 and 5,513.44

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Solution

The fourth proportional to 8,494.96, 11,727.84 and 5,513.44 is: 7,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.96 : 11,727.84 = 5,513.44 : x
  2. Step 2: Convert to fraction form
    8,494.96/11,727.84 = 5,513.44/x
  3. Step 3: Cross multiply
    8,494.96x = 11,727.84 × 5,513.44
  4. Step 4: Simplify right side
    8,494.96x = 64,660,742.17
  5. Step 5: Solve for x
    x = 64,660,742.17/8,494.96
  6. Step 6: Final answer
    x = 7,611.66

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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.