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Finding the Fourth Proportional to 7,697.43, 11,524.68 and 5,056.83

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Solution

The fourth proportional to 7,697.43, 11,524.68 and 5,056.83 is: 7,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.43 : 11,524.68 = 5,056.83 : x
  2. Step 2: Convert to fraction form
    7,697.43/11,524.68 = 5,056.83/x
  3. Step 3: Cross multiply
    7,697.43x = 11,524.68 × 5,056.83
  4. Step 4: Simplify right side
    7,697.43x = 58,278,347.56
  5. Step 5: Solve for x
    x = 58,278,347.56/7,697.43
  6. Step 6: Final answer
    x = 7,571.14

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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.