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Finding the Fourth Proportional to 10,838.21, 16,257.11 and 3,443.11

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Solution

The fourth proportional to 10,838.21, 16,257.11 and 3,443.11 is: 5,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.21 : 16,257.11 = 3,443.11 : x
  2. Step 2: Convert to fraction form
    10,838.21/16,257.11 = 3,443.11/x
  3. Step 3: Cross multiply
    10,838.21x = 16,257.11 × 3,443.11
  4. Step 4: Simplify right side
    10,838.21x = 55,974,960.15
  5. Step 5: Solve for x
    x = 55,974,960.15/10,838.21
  6. Step 6: Final answer
    x = 5,164.60

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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.