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Finding the Fourth Proportional to 10,361.44, 15,517.20 and 6,460.96

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Solution

The fourth proportional to 10,361.44, 15,517.20 and 6,460.96 is: 9,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.44 : 15,517.20 = 6,460.96 : x
  2. Step 2: Convert to fraction form
    10,361.44/15,517.20 = 6,460.96/x
  3. Step 3: Cross multiply
    10,361.44x = 15,517.20 × 6,460.96
  4. Step 4: Simplify right side
    10,361.44x = 100,256,008.51
  5. Step 5: Solve for x
    x = 100,256,008.51/10,361.44
  6. Step 6: Final answer
    x = 9,675.88

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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.