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Finding the Fourth Proportional to 10,383.92, 14,329.78 and 5,668.19

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Solution

The fourth proportional to 10,383.92, 14,329.78 and 5,668.19 is: 7,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.92 : 14,329.78 = 5,668.19 : x
  2. Step 2: Convert to fraction form
    10,383.92/14,329.78 = 5,668.19/x
  3. Step 3: Cross multiply
    10,383.92x = 14,329.78 × 5,668.19
  4. Step 4: Simplify right side
    10,383.92x = 81,223,915.70
  5. Step 5: Solve for x
    x = 81,223,915.70/10,383.92
  6. Step 6: Final answer
    x = 7,822.09

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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.