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Finding the Fourth Proportional to 11,542.38, 17,315.73 and 4,617.42

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Solution

The fourth proportional to 11,542.38, 17,315.73 and 4,617.42 is: 6,926.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.38 : 17,315.73 = 4,617.42 : x
  2. Step 2: Convert to fraction form
    11,542.38/17,315.73 = 4,617.42/x
  3. Step 3: Cross multiply
    11,542.38x = 17,315.73 × 4,617.42
  4. Step 4: Simplify right side
    11,542.38x = 79,953,998.02
  5. Step 5: Solve for x
    x = 79,953,998.02/11,542.38
  6. Step 6: Final answer
    x = 6,926.99

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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.