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Finding the Fourth Proportional to 11,684.81, 17,514.90 and 5,753.48

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Solution

The fourth proportional to 11,684.81, 17,514.90 and 5,753.48 is: 8,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.81 : 17,514.90 = 5,753.48 : x
  2. Step 2: Convert to fraction form
    11,684.81/17,514.90 = 5,753.48/x
  3. Step 3: Cross multiply
    11,684.81x = 17,514.90 × 5,753.48
  4. Step 4: Simplify right side
    11,684.81x = 100,771,626.85
  5. Step 5: Solve for x
    x = 100,771,626.85/11,684.81
  6. Step 6: Final answer
    x = 8,624.16

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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.