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Finding the Fourth Proportional to 10,383.14, 14,328.69 and 5,667.44

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Solution

The fourth proportional to 10,383.14, 14,328.69 and 5,667.44 is: 7,821.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.14 : 14,328.69 = 5,667.44 : x
  2. Step 2: Convert to fraction form
    10,383.14/14,328.69 = 5,667.44/x
  3. Step 3: Cross multiply
    10,383.14x = 14,328.69 × 5,667.44
  4. Step 4: Simplify right side
    10,383.14x = 81,206,990.85
  5. Step 5: Solve for x
    x = 81,206,990.85/10,383.14
  6. Step 6: Final answer
    x = 7,821.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.