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Finding the Fourth Proportional to 7,744.37, 10,687.46 and 4,207.82

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Solution

The fourth proportional to 7,744.37, 10,687.46 and 4,207.82 is: 5,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.37 : 10,687.46 = 4,207.82 : x
  2. Step 2: Convert to fraction form
    7,744.37/10,687.46 = 4,207.82/x
  3. Step 3: Cross multiply
    7,744.37x = 10,687.46 × 4,207.82
  4. Step 4: Simplify right side
    7,744.37x = 44,970,833.46
  5. Step 5: Solve for x
    x = 44,970,833.46/7,744.37
  6. Step 6: Final answer
    x = 5,806.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.