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Finding the Fourth Proportional to 6,927.36, 10,394.16 and 3,765.76

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Solution

The fourth proportional to 6,927.36, 10,394.16 and 3,765.76 is: 5,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.36 : 10,394.16 = 3,765.76 : x
  2. Step 2: Convert to fraction form
    6,927.36/10,394.16 = 3,765.76/x
  3. Step 3: Cross multiply
    6,927.36x = 10,394.16 × 3,765.76
  4. Step 4: Simplify right side
    6,927.36x = 39,141,911.96
  5. Step 5: Solve for x
    x = 39,141,911.96/6,927.36
  6. Step 6: Final answer
    x = 5,650.34

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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.