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Finding the Fourth Proportional to 8,083.44, 11,155.10 and 4,546.64

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Solution

The fourth proportional to 8,083.44, 11,155.10 and 4,546.64 is: 6,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.44 : 11,155.10 = 4,546.64 : x
  2. Step 2: Convert to fraction form
    8,083.44/11,155.10 = 4,546.64/x
  3. Step 3: Cross multiply
    8,083.44x = 11,155.10 × 4,546.64
  4. Step 4: Simplify right side
    8,083.44x = 50,718,145.36
  5. Step 5: Solve for x
    x = 50,718,145.36/8,083.44
  6. Step 6: Final answer
    x = 6,274.33

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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.