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Finding the Fourth Proportional to 11,461.34, 17,194.44 and 3,563.66

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Solution

The fourth proportional to 11,461.34, 17,194.44 and 3,563.66 is: 5,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.34 : 17,194.44 = 3,563.66 : x
  2. Step 2: Convert to fraction form
    11,461.34/17,194.44 = 3,563.66/x
  3. Step 3: Cross multiply
    11,461.34x = 17,194.44 × 3,563.66
  4. Step 4: Simplify right side
    11,461.34x = 61,275,138.05
  5. Step 5: Solve for x
    x = 61,275,138.05/11,461.34
  6. Step 6: Final answer
    x = 5,346.25

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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.