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Finding the Fourth Proportional to 8,274.96, 12,414.50 and 2,431.57

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Solution

The fourth proportional to 8,274.96, 12,414.50 and 2,431.57 is: 3,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.96 : 12,414.50 = 2,431.57 : x
  2. Step 2: Convert to fraction form
    8,274.96/12,414.50 = 2,431.57/x
  3. Step 3: Cross multiply
    8,274.96x = 12,414.50 × 2,431.57
  4. Step 4: Simplify right side
    8,274.96x = 30,186,651.53
  5. Step 5: Solve for x
    x = 30,186,651.53/8,274.96
  6. Step 6: Final answer
    x = 3,647.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.