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Finding the Fourth Proportional to 10,244.64, 15,361.46 and 3,223.34

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Solution

The fourth proportional to 10,244.64, 15,361.46 and 3,223.34 is: 4,833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.64 : 15,361.46 = 3,223.34 : x
  2. Step 2: Convert to fraction form
    10,244.64/15,361.46 = 3,223.34/x
  3. Step 3: Cross multiply
    10,244.64x = 15,361.46 × 3,223.34
  4. Step 4: Simplify right side
    10,244.64x = 49,515,208.48
  5. Step 5: Solve for x
    x = 49,515,208.48/10,244.64
  6. Step 6: Final answer
    x = 4,833.28

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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.