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Finding the Fourth Proportional to 11,033.44, 16,549.92 and 5,186.80

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Solution

The fourth proportional to 11,033.44, 16,549.92 and 5,186.80 is: 7,780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,033.44 : 16,549.92 = 5,186.80 : x
  2. Step 2: Convert to fraction form
    11,033.44/16,549.92 = 5,186.80/x
  3. Step 3: Cross multiply
    11,033.44x = 16,549.92 × 5,186.80
  4. Step 4: Simplify right side
    11,033.44x = 85,841,125.06
  5. Step 5: Solve for x
    x = 85,841,125.06/11,033.44
  6. Step 6: Final answer
    x = 7,780.09

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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.