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Finding the Fourth Proportional to 10,315.73, 15,472.11 and 3,296.54

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Solution

The fourth proportional to 10,315.73, 15,472.11 and 3,296.54 is: 4,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.73 : 15,472.11 = 3,296.54 : x
  2. Step 2: Convert to fraction form
    10,315.73/15,472.11 = 3,296.54/x
  3. Step 3: Cross multiply
    10,315.73x = 15,472.11 × 3,296.54
  4. Step 4: Simplify right side
    10,315.73x = 51,004,429.50
  5. Step 5: Solve for x
    x = 51,004,429.50/10,315.73
  6. Step 6: Final answer
    x = 4,944.34

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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.