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Finding the Fourth Proportional to 10,243.62, 14,135.36 and 5,766.56

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Solution

The fourth proportional to 10,243.62, 14,135.36 and 5,766.56 is: 7,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.62 : 14,135.36 = 5,766.56 : x
  2. Step 2: Convert to fraction form
    10,243.62/14,135.36 = 5,766.56/x
  3. Step 3: Cross multiply
    10,243.62x = 14,135.36 × 5,766.56
  4. Step 4: Simplify right side
    10,243.62x = 81,512,302.05
  5. Step 5: Solve for x
    x = 81,512,302.05/10,243.62
  6. Step 6: Final answer
    x = 7,957.37

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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.