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Finding the Fourth Proportional to 11,297.43, 15,573.17 and 7,930.80

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Solution

The fourth proportional to 11,297.43, 15,573.17 and 7,930.80 is: 10,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.43 : 15,573.17 = 7,930.80 : x
  2. Step 2: Convert to fraction form
    11,297.43/15,573.17 = 7,930.80/x
  3. Step 3: Cross multiply
    11,297.43x = 15,573.17 × 7,930.80
  4. Step 4: Simplify right side
    11,297.43x = 123,507,716.46
  5. Step 5: Solve for x
    x = 123,507,716.46/11,297.43
  6. Step 6: Final answer
    x = 10,932.37

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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.