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Finding the Fourth Proportional to 10,919.63, 16,382.90 and 3,899.50

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Solution

The fourth proportional to 10,919.63, 16,382.90 and 3,899.50 is: 5,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.63 : 16,382.90 = 3,899.50 : x
  2. Step 2: Convert to fraction form
    10,919.63/16,382.90 = 3,899.50/x
  3. Step 3: Cross multiply
    10,919.63x = 16,382.90 × 3,899.50
  4. Step 4: Simplify right side
    10,919.63x = 63,885,087.34
  5. Step 5: Solve for x
    x = 63,885,087.34/10,919.63
  6. Step 6: Final answer
    x = 5,850.48

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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.