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Finding the Fourth Proportional to 8,540.64, 12,815.28 and 3,346.56

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Solution

The fourth proportional to 8,540.64, 12,815.28 and 3,346.56 is: 5,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.64 : 12,815.28 = 3,346.56 : x
  2. Step 2: Convert to fraction form
    8,540.64/12,815.28 = 3,346.56/x
  3. Step 3: Cross multiply
    8,540.64x = 12,815.28 × 3,346.56
  4. Step 4: Simplify right side
    8,540.64x = 42,887,103.44
  5. Step 5: Solve for x
    x = 42,887,103.44/8,540.64
  6. Step 6: Final answer
    x = 5,021.53

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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.