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Finding the Fourth Proportional to 8,194.67, 12,282.28 and 4,498.64

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Solution

The fourth proportional to 8,194.67, 12,282.28 and 4,498.64 is: 6,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.67 : 12,282.28 = 4,498.64 : x
  2. Step 2: Convert to fraction form
    8,194.67/12,282.28 = 4,498.64/x
  3. Step 3: Cross multiply
    8,194.67x = 12,282.28 × 4,498.64
  4. Step 4: Simplify right side
    8,194.67x = 55,253,556.10
  5. Step 5: Solve for x
    x = 55,253,556.10/8,194.67
  6. Step 6: Final answer
    x = 6,742.62

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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.