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Finding the Fourth Proportional to 8,276.40, 12,414.57 and 3,595.82

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Solution

The fourth proportional to 8,276.40, 12,414.57 and 3,595.82 is: 5,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.40 : 12,414.57 = 3,595.82 : x
  2. Step 2: Convert to fraction form
    8,276.40/12,414.57 = 3,595.82/x
  3. Step 3: Cross multiply
    8,276.40x = 12,414.57 × 3,595.82
  4. Step 4: Simplify right side
    8,276.40x = 44,640,497.02
  5. Step 5: Solve for x
    x = 44,640,497.02/8,276.40
  6. Step 6: Final answer
    x = 5,393.71

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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.