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Finding the Fourth Proportional to 11,561.77, 15,954.24 and 6,782.68

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Solution

The fourth proportional to 11,561.77, 15,954.24 and 6,782.68 is: 9,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.77 : 15,954.24 = 6,782.68 : x
  2. Step 2: Convert to fraction form
    11,561.77/15,954.24 = 6,782.68/x
  3. Step 3: Cross multiply
    11,561.77x = 15,954.24 × 6,782.68
  4. Step 4: Simplify right side
    11,561.77x = 108,212,504.56
  5. Step 5: Solve for x
    x = 108,212,504.56/11,561.77
  6. Step 6: Final answer
    x = 9,359.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.