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Finding the Fourth Proportional to 6,759.24, 10,142.34 and 5,115.24

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Solution

The fourth proportional to 6,759.24, 10,142.34 and 5,115.24 is: 7,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.24 : 10,142.34 = 5,115.24 : x
  2. Step 2: Convert to fraction form
    6,759.24/10,142.34 = 5,115.24/x
  3. Step 3: Cross multiply
    6,759.24x = 10,142.34 × 5,115.24
  4. Step 4: Simplify right side
    6,759.24x = 51,880,503.26
  5. Step 5: Solve for x
    x = 51,880,503.26/6,759.24
  6. Step 6: Final answer
    x = 7,675.49

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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.