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Finding the Fourth Proportional to 8,305.38, 12,461.73 and 4,410.09

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Solution

The fourth proportional to 8,305.38, 12,461.73 and 4,410.09 is: 6,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.38 : 12,461.73 = 4,410.09 : x
  2. Step 2: Convert to fraction form
    8,305.38/12,461.73 = 4,410.09/x
  3. Step 3: Cross multiply
    8,305.38x = 12,461.73 × 4,410.09
  4. Step 4: Simplify right side
    8,305.38x = 54,957,350.86
  5. Step 5: Solve for x
    x = 54,957,350.86/8,305.38
  6. Step 6: Final answer
    x = 6,617.08

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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.