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Finding the Fourth Proportional to 11,633.47, 17,443.58 and 7,940.17

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Solution

The fourth proportional to 11,633.47, 17,443.58 and 7,940.17 is: 11,905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.47 : 17,443.58 = 7,940.17 : x
  2. Step 2: Convert to fraction form
    11,633.47/17,443.58 = 7,940.17/x
  3. Step 3: Cross multiply
    11,633.47x = 17,443.58 × 7,940.17
  4. Step 4: Simplify right side
    11,633.47x = 138,505,072.41
  5. Step 5: Solve for x
    x = 138,505,072.41/11,633.47
  6. Step 6: Final answer
    x = 11,905.74

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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.