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Finding the Fourth Proportional to 11,613.74, 17,411.67 and 5,765.81

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Solution

The fourth proportional to 11,613.74, 17,411.67 and 5,765.81 is: 8,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.74 : 17,411.67 = 5,765.81 : x
  2. Step 2: Convert to fraction form
    11,613.74/17,411.67 = 5,765.81/x
  3. Step 3: Cross multiply
    11,613.74x = 17,411.67 × 5,765.81
  4. Step 4: Simplify right side
    11,613.74x = 100,392,293.94
  5. Step 5: Solve for x
    x = 100,392,293.94/11,613.74
  6. Step 6: Final answer
    x = 8,644.27

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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.