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Finding the Fourth Proportional to 10,361.44, 15,524.58 and 6,402.83

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Solution

The fourth proportional to 10,361.44, 15,524.58 and 6,402.83 is: 9,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.44 : 15,524.58 = 6,402.83 : x
  2. Step 2: Convert to fraction form
    10,361.44/15,524.58 = 6,402.83/x
  3. Step 3: Cross multiply
    10,361.44x = 15,524.58 × 6,402.83
  4. Step 4: Simplify right side
    10,361.44x = 99,401,246.56
  5. Step 5: Solve for x
    x = 99,401,246.56/10,361.44
  6. Step 6: Final answer
    x = 9,593.39

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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.