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Finding the Fourth Proportional to 10,775.81, 16,163.24 and 4,449.98

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Solution

The fourth proportional to 10,775.81, 16,163.24 and 4,449.98 is: 6,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.81 : 16,163.24 = 4,449.98 : x
  2. Step 2: Convert to fraction form
    10,775.81/16,163.24 = 4,449.98/x
  3. Step 3: Cross multiply
    10,775.81x = 16,163.24 × 4,449.98
  4. Step 4: Simplify right side
    10,775.81x = 71,925,991.67
  5. Step 5: Solve for x
    x = 71,925,991.67/10,775.81
  6. Step 6: Final answer
    x = 6,674.77

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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.