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Finding the Fourth Proportional to 11,540.17, 15,918.02 and 7,283.72

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Solution

The fourth proportional to 11,540.17, 15,918.02 and 7,283.72 is: 10,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.17 : 15,918.02 = 7,283.72 : x
  2. Step 2: Convert to fraction form
    11,540.17/15,918.02 = 7,283.72/x
  3. Step 3: Cross multiply
    11,540.17x = 15,918.02 × 7,283.72
  4. Step 4: Simplify right side
    11,540.17x = 115,942,431.32
  5. Step 5: Solve for x
    x = 115,942,431.32/11,540.17
  6. Step 6: Final answer
    x = 10,046.86

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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.