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Finding the Fourth Proportional to 12,411.38, 18,617.09 and 5,832.77

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Solution

The fourth proportional to 12,411.38, 18,617.09 and 5,832.77 is: 8,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.38 : 18,617.09 = 5,832.77 : x
  2. Step 2: Convert to fraction form
    12,411.38/18,617.09 = 5,832.77/x
  3. Step 3: Cross multiply
    12,411.38x = 18,617.09 × 5,832.77
  4. Step 4: Simplify right side
    12,411.38x = 108,589,081.79
  5. Step 5: Solve for x
    x = 108,589,081.79/12,411.38
  6. Step 6: Final answer
    x = 8,749.15

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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.