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Finding the Fourth Proportional to 6,752.31, 10,132.83 and 3,287.67

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Solution

The fourth proportional to 6,752.31, 10,132.83 and 3,287.67 is: 4,933.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.31 : 10,132.83 = 3,287.67 : x
  2. Step 2: Convert to fraction form
    6,752.31/10,132.83 = 3,287.67/x
  3. Step 3: Cross multiply
    6,752.31x = 10,132.83 × 3,287.67
  4. Step 4: Simplify right side
    6,752.31x = 33,313,401.21
  5. Step 5: Solve for x
    x = 33,313,401.21/6,752.31
  6. Step 6: Final answer
    x = 4,933.63

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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.