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Finding the Fourth Proportional to 8,410.87, 11,606.89 and 4,633.96

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Solution

The fourth proportional to 8,410.87, 11,606.89 and 4,633.96 is: 6,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.87 : 11,606.89 = 4,633.96 : x
  2. Step 2: Convert to fraction form
    8,410.87/11,606.89 = 4,633.96/x
  3. Step 3: Cross multiply
    8,410.87x = 11,606.89 × 4,633.96
  4. Step 4: Simplify right side
    8,410.87x = 53,785,863.98
  5. Step 5: Solve for x
    x = 53,785,863.98/8,410.87
  6. Step 6: Final answer
    x = 6,394.80

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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.