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Finding the Fourth Proportional to 10,874.32, 16,313.10 and 3,478.12

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Solution

The fourth proportional to 10,874.32, 16,313.10 and 3,478.12 is: 5,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.32 : 16,313.10 = 3,478.12 : x
  2. Step 2: Convert to fraction form
    10,874.32/16,313.10 = 3,478.12/x
  3. Step 3: Cross multiply
    10,874.32x = 16,313.10 × 3,478.12
  4. Step 4: Simplify right side
    10,874.32x = 56,738,919.37
  5. Step 5: Solve for x
    x = 56,738,919.37/10,874.32
  6. Step 6: Final answer
    x = 5,217.70

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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.