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Finding the Fourth Proportional to 11,690.38, 17,538.81 and 6,142.42

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Solution

The fourth proportional to 11,690.38, 17,538.81 and 6,142.42 is: 9,215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.38 : 17,538.81 = 6,142.42 : x
  2. Step 2: Convert to fraction form
    11,690.38/17,538.81 = 6,142.42/x
  3. Step 3: Cross multiply
    11,690.38x = 17,538.81 × 6,142.42
  4. Step 4: Simplify right side
    11,690.38x = 107,730,737.32
  5. Step 5: Solve for x
    x = 107,730,737.32/11,690.38
  6. Step 6: Final answer
    x = 9,215.33

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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.