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Finding the Fourth Proportional to 10,874.14, 16,309.23 and 4,949.62

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Solution

The fourth proportional to 10,874.14, 16,309.23 and 4,949.62 is: 7,423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.14 : 16,309.23 = 4,949.62 : x
  2. Step 2: Convert to fraction form
    10,874.14/16,309.23 = 4,949.62/x
  3. Step 3: Cross multiply
    10,874.14x = 16,309.23 × 4,949.62
  4. Step 4: Simplify right side
    10,874.14x = 80,724,490.99
  5. Step 5: Solve for x
    x = 80,724,490.99/10,874.14
  6. Step 6: Final answer
    x = 7,423.53

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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.