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Finding the Fourth Proportional to 8,113.81, 11,187.72 and 5,992.42

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Solution

The fourth proportional to 8,113.81, 11,187.72 and 5,992.42 is: 8,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.81 : 11,187.72 = 5,992.42 : x
  2. Step 2: Convert to fraction form
    8,113.81/11,187.72 = 5,992.42/x
  3. Step 3: Cross multiply
    8,113.81x = 11,187.72 × 5,992.42
  4. Step 4: Simplify right side
    8,113.81x = 67,041,517.08
  5. Step 5: Solve for x
    x = 67,041,517.08/8,113.81
  6. Step 6: Final answer
    x = 8,262.64

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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.