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Finding the Fourth Proportional to 10,144.52, 13,999.02 and 5,668.26

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Solution

The fourth proportional to 10,144.52, 13,999.02 and 5,668.26 is: 7,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.52 : 13,999.02 = 5,668.26 : x
  2. Step 2: Convert to fraction form
    10,144.52/13,999.02 = 5,668.26/x
  3. Step 3: Cross multiply
    10,144.52x = 13,999.02 × 5,668.26
  4. Step 4: Simplify right side
    10,144.52x = 79,350,085.11
  5. Step 5: Solve for x
    x = 79,350,085.11/10,144.52
  6. Step 6: Final answer
    x = 7,821.97

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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.