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Finding the Fourth Proportional to 10,321.44, 14,243.60 and 5,605.68

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Solution

The fourth proportional to 10,321.44, 14,243.60 and 5,605.68 is: 7,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.44 : 14,243.60 = 5,605.68 : x
  2. Step 2: Convert to fraction form
    10,321.44/14,243.60 = 5,605.68/x
  3. Step 3: Cross multiply
    10,321.44x = 14,243.60 × 5,605.68
  4. Step 4: Simplify right side
    10,321.44x = 79,845,063.65
  5. Step 5: Solve for x
    x = 79,845,063.65/10,321.44
  6. Step 6: Final answer
    x = 7,735.85

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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.