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Finding the Fourth Proportional to 11,167.80, 16,727.40 and 6,777.60

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Solution

The fourth proportional to 11,167.80, 16,727.40 and 6,777.60 is: 10,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.80 : 16,727.40 = 6,777.60 : x
  2. Step 2: Convert to fraction form
    11,167.80/16,727.40 = 6,777.60/x
  3. Step 3: Cross multiply
    11,167.80x = 16,727.40 × 6,777.60
  4. Step 4: Simplify right side
    11,167.80x = 113,371,626.24
  5. Step 5: Solve for x
    x = 113,371,626.24/11,167.80
  6. Step 6: Final answer
    x = 10,151.65

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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.