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Finding the Fourth Proportional to 7,832.38, 11,750.50 and 2,285.78

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Solution

The fourth proportional to 7,832.38, 11,750.50 and 2,285.78 is: 3,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.38 : 11,750.50 = 2,285.78 : x
  2. Step 2: Convert to fraction form
    7,832.38/11,750.50 = 2,285.78/x
  3. Step 3: Cross multiply
    7,832.38x = 11,750.50 × 2,285.78
  4. Step 4: Simplify right side
    7,832.38x = 26,859,057.89
  5. Step 5: Solve for x
    x = 26,859,057.89/7,832.38
  6. Step 6: Final answer
    x = 3,429.23

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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.