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Finding the Fourth Proportional to 10,383.88, 14,329.96 and 5,668.48

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Solution

The fourth proportional to 10,383.88, 14,329.96 and 5,668.48 is: 7,822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.88 : 14,329.96 = 5,668.48 : x
  2. Step 2: Convert to fraction form
    10,383.88/14,329.96 = 5,668.48/x
  3. Step 3: Cross multiply
    10,383.88x = 14,329.96 × 5,668.48
  4. Step 4: Simplify right side
    10,383.88x = 81,229,091.66
  5. Step 5: Solve for x
    x = 81,229,091.66/10,383.88
  6. Step 6: Final answer
    x = 7,822.61

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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.