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Finding the Fourth Proportional to 11,415.71, 17,112.36 and 5,490.97

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Solution

The fourth proportional to 11,415.71, 17,112.36 and 5,490.97 is: 8,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.71 : 17,112.36 = 5,490.97 : x
  2. Step 2: Convert to fraction form
    11,415.71/17,112.36 = 5,490.97/x
  3. Step 3: Cross multiply
    11,415.71x = 17,112.36 × 5,490.97
  4. Step 4: Simplify right side
    11,415.71x = 93,963,433.20
  5. Step 5: Solve for x
    x = 93,963,433.20/11,415.71
  6. Step 6: Final answer
    x = 8,231.06

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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.