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Finding the Fourth Proportional to 11,613.46, 17,420.19 and 3,293.55

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Solution

The fourth proportional to 11,613.46, 17,420.19 and 3,293.55 is: 4,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.46 : 17,420.19 = 3,293.55 : x
  2. Step 2: Convert to fraction form
    11,613.46/17,420.19 = 3,293.55/x
  3. Step 3: Cross multiply
    11,613.46x = 17,420.19 × 3,293.55
  4. Step 4: Simplify right side
    11,613.46x = 57,374,250.31
  5. Step 5: Solve for x
    x = 57,374,250.31/11,613.46
  6. Step 6: Final answer
    x = 4,940.32

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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.