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Finding the Fourth Proportional to 11,613.96, 17,420.94 and 3,294.05

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Solution

The fourth proportional to 11,613.96, 17,420.94 and 3,294.05 is: 4,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.96 : 17,420.94 = 3,294.05 : x
  2. Step 2: Convert to fraction form
    11,613.96/17,420.94 = 3,294.05/x
  3. Step 3: Cross multiply
    11,613.96x = 17,420.94 × 3,294.05
  4. Step 4: Simplify right side
    11,613.96x = 57,385,447.41
  5. Step 5: Solve for x
    x = 57,385,447.41/11,613.96
  6. Step 6: Final answer
    x = 4,941.08

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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.