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Finding the Fourth Proportional to 11,291.48, 16,963.16 and 7,967.37

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Solution

The fourth proportional to 11,291.48, 16,963.16 and 7,967.37 is: 11,969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.48 : 16,963.16 = 7,967.37 : x
  2. Step 2: Convert to fraction form
    11,291.48/16,963.16 = 7,967.37/x
  3. Step 3: Cross multiply
    11,291.48x = 16,963.16 × 7,967.37
  4. Step 4: Simplify right side
    11,291.48x = 135,151,732.25
  5. Step 5: Solve for x
    x = 135,151,732.25/11,291.48
  6. Step 6: Final answer
    x = 11,969.36

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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.