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Finding the Fourth Proportional to 5,623.12, 8,423.40 and 5,163.82

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Solution

The fourth proportional to 5,623.12, 8,423.40 and 5,163.82 is: 7,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.12 : 8,423.40 = 5,163.82 : x
  2. Step 2: Convert to fraction form
    5,623.12/8,423.40 = 5,163.82/x
  3. Step 3: Cross multiply
    5,623.12x = 8,423.40 × 5,163.82
  4. Step 4: Simplify right side
    5,623.12x = 43,496,921.39
  5. Step 5: Solve for x
    x = 43,496,921.39/5,623.12
  6. Step 6: Final answer
    x = 7,735.37

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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.