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Finding the Fourth Proportional to 8,468.94, 11,687.14 and 4,640.56

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Solution

The fourth proportional to 8,468.94, 11,687.14 and 4,640.56 is: 6,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.94 : 11,687.14 = 4,640.56 : x
  2. Step 2: Convert to fraction form
    8,468.94/11,687.14 = 4,640.56/x
  3. Step 3: Cross multiply
    8,468.94x = 11,687.14 × 4,640.56
  4. Step 4: Simplify right side
    8,468.94x = 54,234,874.40
  5. Step 5: Solve for x
    x = 54,234,874.40/8,468.94
  6. Step 6: Final answer
    x = 6,403.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.