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Finding the Fourth Proportional to 8,274.42, 12,408.66 and 3,275.64

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Solution

The fourth proportional to 8,274.42, 12,408.66 and 3,275.64 is: 4,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.42 : 12,408.66 = 3,275.64 : x
  2. Step 2: Convert to fraction form
    8,274.42/12,408.66 = 3,275.64/x
  3. Step 3: Cross multiply
    8,274.42x = 12,408.66 × 3,275.64
  4. Step 4: Simplify right side
    8,274.42x = 40,646,303.04
  5. Step 5: Solve for x
    x = 40,646,303.04/8,274.42
  6. Step 6: Final answer
    x = 4,912.28

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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.