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Finding the Fourth Proportional to 10,321.12, 14,244.96 and 5,845.12

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Solution

The fourth proportional to 10,321.12, 14,244.96 and 5,845.12 is: 8,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.12 : 14,244.96 = 5,845.12 : x
  2. Step 2: Convert to fraction form
    10,321.12/14,244.96 = 5,845.12/x
  3. Step 3: Cross multiply
    10,321.12x = 14,244.96 × 5,845.12
  4. Step 4: Simplify right side
    10,321.12x = 83,263,500.60
  5. Step 5: Solve for x
    x = 83,263,500.60/10,321.12
  6. Step 6: Final answer
    x = 8,067.29

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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.