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Finding the Fourth Proportional to 11,855.52, 16,313.40 and 11,494.80

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Solution

The fourth proportional to 11,855.52, 16,313.40 and 11,494.80 is: 15,817.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.52 : 16,313.40 = 11,494.80 : x
  2. Step 2: Convert to fraction form
    11,855.52/16,313.40 = 11,494.80/x
  3. Step 3: Cross multiply
    11,855.52x = 16,313.40 × 11,494.80
  4. Step 4: Simplify right side
    11,855.52x = 187,519,270.32
  5. Step 5: Solve for x
    x = 187,519,270.32/11,855.52
  6. Step 6: Final answer
    x = 15,817.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.