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Finding the Fourth Proportional to 7,723.56, 10,650.06 and 5,737.80

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Solution

The fourth proportional to 7,723.56, 10,650.06 and 5,737.80 is: 7,911.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.56 : 10,650.06 = 5,737.80 : x
  2. Step 2: Convert to fraction form
    7,723.56/10,650.06 = 5,737.80/x
  3. Step 3: Cross multiply
    7,723.56x = 10,650.06 × 5,737.80
  4. Step 4: Simplify right side
    7,723.56x = 61,107,914.27
  5. Step 5: Solve for x
    x = 61,107,914.27/7,723.56
  6. Step 6: Final answer
    x = 7,911.88

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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.