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Finding the Fourth Proportional to 11,542.68, 17,289.18 and 7,824.51

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Solution

The fourth proportional to 11,542.68, 17,289.18 and 7,824.51 is: 11,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.68 : 17,289.18 = 7,824.51 : x
  2. Step 2: Convert to fraction form
    11,542.68/17,289.18 = 7,824.51/x
  3. Step 3: Cross multiply
    11,542.68x = 17,289.18 × 7,824.51
  4. Step 4: Simplify right side
    11,542.68x = 135,279,361.80
  5. Step 5: Solve for x
    x = 135,279,361.80/11,542.68
  6. Step 6: Final answer
    x = 11,719.93

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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.