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Finding the Fourth Proportional to 10,239.38, 15,361.50 and 3,313.88

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Solution

The fourth proportional to 10,239.38, 15,361.50 and 3,313.88 is: 4,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239.38 : 15,361.50 = 3,313.88 : x
  2. Step 2: Convert to fraction form
    10,239.38/15,361.50 = 3,313.88/x
  3. Step 3: Cross multiply
    10,239.38x = 15,361.50 × 3,313.88
  4. Step 4: Simplify right side
    10,239.38x = 50,906,090.81
  5. Step 5: Solve for x
    x = 50,906,090.81/10,239.38
  6. Step 6: Final answer
    x = 4,971.60

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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.