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Finding the Fourth Proportional to 7,833.04, 11,744.87 and 3,673.96

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Solution

The fourth proportional to 7,833.04, 11,744.87 and 3,673.96 is: 5,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.04 : 11,744.87 = 3,673.96 : x
  2. Step 2: Convert to fraction form
    7,833.04/11,744.87 = 3,673.96/x
  3. Step 3: Cross multiply
    7,833.04x = 11,744.87 × 3,673.96
  4. Step 4: Simplify right side
    7,833.04x = 43,150,134.85
  5. Step 5: Solve for x
    x = 43,150,134.85/7,833.04
  6. Step 6: Final answer
    x = 5,508.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.