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Finding the Fourth Proportional to 10,775.46, 16,171.83 and 5,582.82

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Solution

The fourth proportional to 10,775.46, 16,171.83 and 5,582.82 is: 8,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.46 : 16,171.83 = 5,582.82 : x
  2. Step 2: Convert to fraction form
    10,775.46/16,171.83 = 5,582.82/x
  3. Step 3: Cross multiply
    10,775.46x = 16,171.83 × 5,582.82
  4. Step 4: Simplify right side
    10,775.46x = 90,284,415.96
  5. Step 5: Solve for x
    x = 90,284,415.96/10,775.46
  6. Step 6: Final answer
    x = 8,378.71

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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.