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Finding the Fourth Proportional to 10,775.68, 16,162.22 and 2,878.80

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Solution

The fourth proportional to 10,775.68, 16,162.22 and 2,878.80 is: 4,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.68 : 16,162.22 = 2,878.80 : x
  2. Step 2: Convert to fraction form
    10,775.68/16,162.22 = 2,878.80/x
  3. Step 3: Cross multiply
    10,775.68x = 16,162.22 × 2,878.80
  4. Step 4: Simplify right side
    10,775.68x = 46,527,798.94
  5. Step 5: Solve for x
    x = 46,527,798.94/10,775.68
  6. Step 6: Final answer
    x = 4,317.85

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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.