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Finding the Fourth Proportional to 11,176.94, 16,768.13 and 4,157.21

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Solution

The fourth proportional to 11,176.94, 16,768.13 and 4,157.21 is: 6,236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.94 : 16,768.13 = 4,157.21 : x
  2. Step 2: Convert to fraction form
    11,176.94/16,768.13 = 4,157.21/x
  3. Step 3: Cross multiply
    11,176.94x = 16,768.13 × 4,157.21
  4. Step 4: Simplify right side
    11,176.94x = 69,708,637.72
  5. Step 5: Solve for x
    x = 69,708,637.72/11,176.94
  6. Step 6: Final answer
    x = 6,236.83

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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.