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Finding the Fourth Proportional to 11,998.62, 17,965.62 and 7,828.28

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Solution

The fourth proportional to 11,998.62, 17,965.62 and 7,828.28 is: 11,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.62 : 17,965.62 = 7,828.28 : x
  2. Step 2: Convert to fraction form
    11,998.62/17,965.62 = 7,828.28/x
  3. Step 3: Cross multiply
    11,998.62x = 17,965.62 × 7,828.28
  4. Step 4: Simplify right side
    11,998.62x = 140,639,903.73
  5. Step 5: Solve for x
    x = 140,639,903.73/11,998.62
  6. Step 6: Final answer
    x = 11,721.34

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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.