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Finding the Fourth Proportional to 11,022.68, 16,527.94 and 5,744.52

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Solution

The fourth proportional to 11,022.68, 16,527.94 and 5,744.52 is: 8,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022.68 : 16,527.94 = 5,744.52 : x
  2. Step 2: Convert to fraction form
    11,022.68/16,527.94 = 5,744.52/x
  3. Step 3: Cross multiply
    11,022.68x = 16,527.94 × 5,744.52
  4. Step 4: Simplify right side
    11,022.68x = 94,945,081.89
  5. Step 5: Solve for x
    x = 94,945,081.89/11,022.68
  6. Step 6: Final answer
    x = 8,613.61

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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.