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Finding the Fourth Proportional to 8,142.44, 11,236.60 and 4,416.44

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Solution

The fourth proportional to 8,142.44, 11,236.60 and 4,416.44 is: 6,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.44 : 11,236.60 = 4,416.44 : x
  2. Step 2: Convert to fraction form
    8,142.44/11,236.60 = 4,416.44/x
  3. Step 3: Cross multiply
    8,142.44x = 11,236.60 × 4,416.44
  4. Step 4: Simplify right side
    8,142.44x = 49,625,769.70
  5. Step 5: Solve for x
    x = 49,625,769.70/8,142.44
  6. Step 6: Final answer
    x = 6,094.70

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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.