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Finding the Fourth Proportional to 10,144.64, 13,999.44 and 5,668.64

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Solution

The fourth proportional to 10,144.64, 13,999.44 and 5,668.64 is: 7,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.64 : 13,999.44 = 5,668.64 : x
  2. Step 2: Convert to fraction form
    10,144.64/13,999.44 = 5,668.64/x
  3. Step 3: Cross multiply
    10,144.64x = 13,999.44 × 5,668.64
  4. Step 4: Simplify right side
    10,144.64x = 79,357,785.56
  5. Step 5: Solve for x
    x = 79,357,785.56/10,144.64
  6. Step 6: Final answer
    x = 7,822.63

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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.