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Finding the Fourth Proportional to 7,231.37, 10,847.16 and 2,305.16

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Solution

The fourth proportional to 7,231.37, 10,847.16 and 2,305.16 is: 3,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.37 : 10,847.16 = 2,305.16 : x
  2. Step 2: Convert to fraction form
    7,231.37/10,847.16 = 2,305.16/x
  3. Step 3: Cross multiply
    7,231.37x = 10,847.16 × 2,305.16
  4. Step 4: Simplify right side
    7,231.37x = 25,004,373.58
  5. Step 5: Solve for x
    x = 25,004,373.58/7,231.37
  6. Step 6: Final answer
    x = 3,457.76

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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.