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Finding the Fourth Proportional to 10,321.41, 14,243.54 and 5,605.70

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Solution

The fourth proportional to 10,321.41, 14,243.54 and 5,605.70 is: 7,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.41 : 14,243.54 = 5,605.70 : x
  2. Step 2: Convert to fraction form
    10,321.41/14,243.54 = 5,605.70/x
  3. Step 3: Cross multiply
    10,321.41x = 14,243.54 × 5,605.70
  4. Step 4: Simplify right side
    10,321.41x = 79,844,912.93
  5. Step 5: Solve for x
    x = 79,844,912.93/10,321.41
  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.