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Finding the Fourth Proportional to 10,313.65, 15,470.46 and 3,739.82

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Solution

The fourth proportional to 10,313.65, 15,470.46 and 3,739.82 is: 5,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.65 : 15,470.46 = 3,739.82 : x
  2. Step 2: Convert to fraction form
    10,313.65/15,470.46 = 3,739.82/x
  3. Step 3: Cross multiply
    10,313.65x = 15,470.46 × 3,739.82
  4. Step 4: Simplify right side
    10,313.65x = 57,856,735.72
  5. Step 5: Solve for x
    x = 57,856,735.72/10,313.65
  6. Step 6: Final answer
    x = 5,609.72

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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.