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Finding the Fourth Proportional to 11,684.42, 17,526.78 and 3,364.57

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Solution

The fourth proportional to 11,684.42, 17,526.78 and 3,364.57 is: 5,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.42 : 17,526.78 = 3,364.57 : x
  2. Step 2: Convert to fraction form
    11,684.42/17,526.78 = 3,364.57/x
  3. Step 3: Cross multiply
    11,684.42x = 17,526.78 × 3,364.57
  4. Step 4: Simplify right side
    11,684.42x = 58,970,100.09
  5. Step 5: Solve for x
    x = 58,970,100.09/11,684.42
  6. Step 6: Final answer
    x = 5,046.90

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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.