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Finding the Fourth Proportional to 8,414.77, 12,622.35 and 4,027.41

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Solution

The fourth proportional to 8,414.77, 12,622.35 and 4,027.41 is: 6,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.77 : 12,622.35 = 4,027.41 : x
  2. Step 2: Convert to fraction form
    8,414.77/12,622.35 = 4,027.41/x
  3. Step 3: Cross multiply
    8,414.77x = 12,622.35 × 4,027.41
  4. Step 4: Simplify right side
    8,414.77x = 50,835,378.61
  5. Step 5: Solve for x
    x = 50,835,378.61/8,414.77
  6. Step 6: Final answer
    x = 6,041.21

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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.