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Finding the Fourth Proportional to 8,414.94, 12,616.89 and 4,717.56

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Solution

The fourth proportional to 8,414.94, 12,616.89 and 4,717.56 is: 7,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.94 : 12,616.89 = 4,717.56 : x
  2. Step 2: Convert to fraction form
    8,414.94/12,616.89 = 4,717.56/x
  3. Step 3: Cross multiply
    8,414.94x = 12,616.89 × 4,717.56
  4. Step 4: Simplify right side
    8,414.94x = 59,520,935.59
  5. Step 5: Solve for x
    x = 59,520,935.59/8,414.94
  6. Step 6: Final answer
    x = 7,073.25

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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.