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Finding the Fourth Proportional to 11,443.22, 17,171.31 and 6,178.16

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Solution

The fourth proportional to 11,443.22, 17,171.31 and 6,178.16 is: 9,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.22 : 17,171.31 = 6,178.16 : x
  2. Step 2: Convert to fraction form
    11,443.22/17,171.31 = 6,178.16/x
  3. Step 3: Cross multiply
    11,443.22x = 17,171.31 × 6,178.16
  4. Step 4: Simplify right side
    11,443.22x = 106,087,014.73
  5. Step 5: Solve for x
    x = 106,087,014.73/11,443.22
  6. Step 6: Final answer
    x = 9,270.74

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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.