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Finding the Fourth Proportional to 10,234.34, 14,122.79 and 5,757.90

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Solution

The fourth proportional to 10,234.34, 14,122.79 and 5,757.90 is: 7,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.34 : 14,122.79 = 5,757.90 : x
  2. Step 2: Convert to fraction form
    10,234.34/14,122.79 = 5,757.90/x
  3. Step 3: Cross multiply
    10,234.34x = 14,122.79 × 5,757.90
  4. Step 4: Simplify right side
    10,234.34x = 81,317,612.54
  5. Step 5: Solve for x
    x = 81,317,612.54/10,234.34
  6. Step 6: Final answer
    x = 7,945.56

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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.