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Finding the Fourth Proportional to 7,832.81, 11,751.06 and 2,638.69

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Solution

The fourth proportional to 7,832.81, 11,751.06 and 2,638.69 is: 3,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.81 : 11,751.06 = 2,638.69 : x
  2. Step 2: Convert to fraction form
    7,832.81/11,751.06 = 2,638.69/x
  3. Step 3: Cross multiply
    7,832.81x = 11,751.06 × 2,638.69
  4. Step 4: Simplify right side
    7,832.81x = 31,007,385.03
  5. Step 5: Solve for x
    x = 31,007,385.03/7,832.81
  6. Step 6: Final answer
    x = 3,958.65

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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.