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Finding the Fourth Proportional to 8,399.64, 12,596.70 and 2,851.56

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Solution

The fourth proportional to 8,399.64, 12,596.70 and 2,851.56 is: 4,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.64 : 12,596.70 = 2,851.56 : x
  2. Step 2: Convert to fraction form
    8,399.64/12,596.70 = 2,851.56/x
  3. Step 3: Cross multiply
    8,399.64x = 12,596.70 × 2,851.56
  4. Step 4: Simplify right side
    8,399.64x = 35,920,245.85
  5. Step 5: Solve for x
    x = 35,920,245.85/8,399.64
  6. Step 6: Final answer
    x = 4,276.40

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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.