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Finding the Fourth Proportional to 6,761.16, 10,141.79 and 3,472.16

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Solution

The fourth proportional to 6,761.16, 10,141.79 and 3,472.16 is: 5,208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.16 : 10,141.79 = 3,472.16 : x
  2. Step 2: Convert to fraction form
    6,761.16/10,141.79 = 3,472.16/x
  3. Step 3: Cross multiply
    6,761.16x = 10,141.79 × 3,472.16
  4. Step 4: Simplify right side
    6,761.16x = 35,213,849.50
  5. Step 5: Solve for x
    x = 35,213,849.50/6,761.16
  6. Step 6: Final answer
    x = 5,208.26

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Why These Related Problems?

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