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Finding the Fourth Proportional to 7,142.50, 10,715.34 and 3,447.82

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Solution

The fourth proportional to 7,142.50, 10,715.34 and 3,447.82 is: 5,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.50 : 10,715.34 = 3,447.82 : x
  2. Step 2: Convert to fraction form
    7,142.50/10,715.34 = 3,447.82/x
  3. Step 3: Cross multiply
    7,142.50x = 10,715.34 × 3,447.82
  4. Step 4: Simplify right side
    7,142.50x = 36,944,563.56
  5. Step 5: Solve for x
    x = 36,944,563.56/7,142.50
  6. Step 6: Final answer
    x = 5,172.50

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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.