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Finding the Fourth Proportional to 11,571.96, 17,358.75 and 5,727

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Solution

The fourth proportional to 11,571.96, 17,358.75 and 5,727 is: 8,590.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.96 : 17,358.75 = 5,727 : x
  2. Step 2: Convert to fraction form
    11,571.96/17,358.75 = 5,727/x
  3. Step 3: Cross multiply
    11,571.96x = 17,358.75 × 5,727
  4. Step 4: Simplify right side
    11,571.96x = 99,413,561.25
  5. Step 5: Solve for x
    x = 99,413,561.25/11,571.96
  6. Step 6: Final answer
    x = 8,590.90

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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.