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Finding the Fourth Proportional to 10,383.82, 14,329.17 and 5,668.11

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Solution

The fourth proportional to 10,383.82, 14,329.17 and 5,668.11 is: 7,821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.82 : 14,329.17 = 5,668.11 : x
  2. Step 2: Convert to fraction form
    10,383.82/14,329.17 = 5,668.11/x
  3. Step 3: Cross multiply
    10,383.82x = 14,329.17 × 5,668.11
  4. Step 4: Simplify right side
    10,383.82x = 81,219,311.77
  5. Step 5: Solve for x
    x = 81,219,311.77/10,383.82
  6. Step 6: Final answer
    x = 7,821.72

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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.