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Finding the Fourth Proportional to 10,874.21, 16,299.95 and 6,184.10

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Solution

The fourth proportional to 10,874.21, 16,299.95 and 6,184.10 is: 9,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.21 : 16,299.95 = 6,184.10 : x
  2. Step 2: Convert to fraction form
    10,874.21/16,299.95 = 6,184.10/x
  3. Step 3: Cross multiply
    10,874.21x = 16,299.95 × 6,184.10
  4. Step 4: Simplify right side
    10,874.21x = 100,800,530.62
  5. Step 5: Solve for x
    x = 100,800,530.62/10,874.21
  6. Step 6: Final answer
    x = 9,269.69

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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.