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Finding the Fourth Proportional to 12,983.07, 17,917.97 and 7,950.62

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Solution

The fourth proportional to 12,983.07, 17,917.97 and 7,950.62 is: 10,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.07 : 17,917.97 = 7,950.62 : x
  2. Step 2: Convert to fraction form
    12,983.07/17,917.97 = 7,950.62/x
  3. Step 3: Cross multiply
    12,983.07x = 17,917.97 × 7,950.62
  4. Step 4: Simplify right side
    12,983.07x = 142,458,841.30
  5. Step 5: Solve for x
    x = 142,458,841.30/12,983.07
  6. Step 6: Final answer
    x = 10,972.66

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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.