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Finding the Fourth Proportional to 6,712.34, 10,059.15 and 3,940.82

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Solution

The fourth proportional to 6,712.34, 10,059.15 and 3,940.82 is: 5,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.34 : 10,059.15 = 3,940.82 : x
  2. Step 2: Convert to fraction form
    6,712.34/10,059.15 = 3,940.82/x
  3. Step 3: Cross multiply
    6,712.34x = 10,059.15 × 3,940.82
  4. Step 4: Simplify right side
    6,712.34x = 39,641,299.50
  5. Step 5: Solve for x
    x = 39,641,299.50/6,712.34
  6. Step 6: Final answer
    x = 5,905.73

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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.