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Finding the Fourth Proportional to 11,614.63, 17,420.82 and 3,294.58

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Solution

The fourth proportional to 11,614.63, 17,420.82 and 3,294.58 is: 4,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.63 : 17,420.82 = 3,294.58 : x
  2. Step 2: Convert to fraction form
    11,614.63/17,420.82 = 3,294.58/x
  3. Step 3: Cross multiply
    11,614.63x = 17,420.82 × 3,294.58
  4. Step 4: Simplify right side
    11,614.63x = 57,394,285.16
  5. Step 5: Solve for x
    x = 57,394,285.16/11,614.63
  6. Step 6: Final answer
    x = 4,941.55

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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.