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Finding the Fourth Proportional to 6,757.24, 10,139.34 and 5,113.24

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Solution

The fourth proportional to 6,757.24, 10,139.34 and 5,113.24 is: 7,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.24 : 10,139.34 = 5,113.24 : x
  2. Step 2: Convert to fraction form
    6,757.24/10,139.34 = 5,113.24/x
  3. Step 3: Cross multiply
    6,757.24x = 10,139.34 × 5,113.24
  4. Step 4: Simplify right side
    6,757.24x = 51,844,878.86
  5. Step 5: Solve for x
    x = 51,844,878.86/6,757.24
  6. Step 6: Final answer
    x = 7,672.49

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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.