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Finding the Fourth Proportional to 8,414.84, 12,620.50 and 2,868.14

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Solution

The fourth proportional to 8,414.84, 12,620.50 and 2,868.14 is: 4,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.84 : 12,620.50 = 2,868.14 : x
  2. Step 2: Convert to fraction form
    8,414.84/12,620.50 = 2,868.14/x
  3. Step 3: Cross multiply
    8,414.84x = 12,620.50 × 2,868.14
  4. Step 4: Simplify right side
    8,414.84x = 36,197,360.87
  5. Step 5: Solve for x
    x = 36,197,360.87/8,414.84
  6. Step 6: Final answer
    x = 4,301.61

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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.