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Finding the Fourth Proportional to 10,604.78, 15,896.23 and 4,765.49

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Solution

The fourth proportional to 10,604.78, 15,896.23 and 4,765.49 is: 7,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.78 : 15,896.23 = 4,765.49 : x
  2. Step 2: Convert to fraction form
    10,604.78/15,896.23 = 4,765.49/x
  3. Step 3: Cross multiply
    10,604.78x = 15,896.23 × 4,765.49
  4. Step 4: Simplify right side
    10,604.78x = 75,753,221.79
  5. Step 5: Solve for x
    x = 75,753,221.79/10,604.78
  6. Step 6: Final answer
    x = 7,143.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.