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Finding the Fourth Proportional to 10,361.95, 14,299.49 and 5,646.27

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Solution

The fourth proportional to 10,361.95, 14,299.49 and 5,646.27 is: 7,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.95 : 14,299.49 = 5,646.27 : x
  2. Step 2: Convert to fraction form
    10,361.95/14,299.49 = 5,646.27/x
  3. Step 3: Cross multiply
    10,361.95x = 14,299.49 × 5,646.27
  4. Step 4: Simplify right side
    10,361.95x = 80,738,717.42
  5. Step 5: Solve for x
    x = 80,738,717.42/10,361.95
  6. Step 6: Final answer
    x = 7,791.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.