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Finding the Fourth Proportional to 11,613.57, 17,409.90 and 4,212.83

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Solution

The fourth proportional to 11,613.57, 17,409.90 and 4,212.83 is: 6,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.57 : 17,409.90 = 4,212.83 : x
  2. Step 2: Convert to fraction form
    11,613.57/17,409.90 = 4,212.83/x
  3. Step 3: Cross multiply
    11,613.57x = 17,409.90 × 4,212.83
  4. Step 4: Simplify right side
    11,613.57x = 73,344,861.97
  5. Step 5: Solve for x
    x = 73,344,861.97/11,613.57
  6. Step 6: Final answer
    x = 6,315.44

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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.