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Finding the Fourth Proportional to 11,654.94, 17,472.92 and 5,418.89

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Solution

The fourth proportional to 11,654.94, 17,472.92 and 5,418.89 is: 8,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.94 : 17,472.92 = 5,418.89 : x
  2. Step 2: Convert to fraction form
    11,654.94/17,472.92 = 5,418.89/x
  3. Step 3: Cross multiply
    11,654.94x = 17,472.92 × 5,418.89
  4. Step 4: Simplify right side
    11,654.94x = 94,683,744.09
  5. Step 5: Solve for x
    x = 94,683,744.09/11,654.94
  6. Step 6: Final answer
    x = 8,123.92

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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.