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Finding the Fourth Proportional to 11,233.84, 16,853.22 and 3,443.28

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Solution

The fourth proportional to 11,233.84, 16,853.22 and 3,443.28 is: 5,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,233.84 : 16,853.22 = 3,443.28 : x
  2. Step 2: Convert to fraction form
    11,233.84/16,853.22 = 3,443.28/x
  3. Step 3: Cross multiply
    11,233.84x = 16,853.22 × 3,443.28
  4. Step 4: Simplify right side
    11,233.84x = 58,030,355.36
  5. Step 5: Solve for x
    x = 58,030,355.36/11,233.84
  6. Step 6: Final answer
    x = 5,165.67

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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.