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Finding the Fourth Proportional to 27,559.71, 41,346.50 and 7,838.27

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Solution

The fourth proportional to 27,559.71, 41,346.50 and 7,838.27 is: 11,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,559.71 : 41,346.50 = 7,838.27 : x
  2. Step 2: Convert to fraction form
    27,559.71/41,346.50 = 7,838.27/x
  3. Step 3: Cross multiply
    27,559.71x = 41,346.50 × 7,838.27
  4. Step 4: Simplify right side
    27,559.71x = 324,084,983.77
  5. Step 5: Solve for x
    x = 324,084,983.77/27,559.71
  6. Step 6: Final answer
    x = 11,759.38

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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.