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Finding the Fourth Proportional to 10,894.42, 16,337.94 and 3,874.12

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Solution

The fourth proportional to 10,894.42, 16,337.94 and 3,874.12 is: 5,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.42 : 16,337.94 = 3,874.12 : x
  2. Step 2: Convert to fraction form
    10,894.42/16,337.94 = 3,874.12/x
  3. Step 3: Cross multiply
    10,894.42x = 16,337.94 × 3,874.12
  4. Step 4: Simplify right side
    10,894.42x = 63,295,140.11
  5. Step 5: Solve for x
    x = 63,295,140.11/10,894.42
  6. Step 6: Final answer
    x = 5,809.87

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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.