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Finding the Fourth Proportional to 7,234.13, 10,852.43 and 3,076.13

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Solution

The fourth proportional to 7,234.13, 10,852.43 and 3,076.13 is: 4,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.13 : 10,852.43 = 3,076.13 : x
  2. Step 2: Convert to fraction form
    7,234.13/10,852.43 = 3,076.13/x
  3. Step 3: Cross multiply
    7,234.13x = 10,852.43 × 3,076.13
  4. Step 4: Simplify right side
    7,234.13x = 33,383,415.85
  5. Step 5: Solve for x
    x = 33,383,415.85/7,234.13
  6. Step 6: Final answer
    x = 4,614.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.