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Finding the Fourth Proportional to 11,142.88, 16,712.40 and 3,349.60

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Solution

The fourth proportional to 11,142.88, 16,712.40 and 3,349.60 is: 5,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.88 : 16,712.40 = 3,349.60 : x
  2. Step 2: Convert to fraction form
    11,142.88/16,712.40 = 3,349.60/x
  3. Step 3: Cross multiply
    11,142.88x = 16,712.40 × 3,349.60
  4. Step 4: Simplify right side
    11,142.88x = 55,979,855.04
  5. Step 5: Solve for x
    x = 55,979,855.04/11,142.88
  6. Step 6: Final answer
    x = 5,023.82

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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.