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Finding the Fourth Proportional to 10,144.70, 13,999.98 and 5,668.96

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Solution

The fourth proportional to 10,144.70, 13,999.98 and 5,668.96 is: 7,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.70 : 13,999.98 = 5,668.96 : x
  2. Step 2: Convert to fraction form
    10,144.70/13,999.98 = 5,668.96/x
  3. Step 3: Cross multiply
    10,144.70x = 13,999.98 × 5,668.96
  4. Step 4: Simplify right side
    10,144.70x = 79,365,326.62
  5. Step 5: Solve for x
    x = 79,365,326.62/10,144.70
  6. Step 6: Final answer
    x = 7,823.33

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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.