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Finding the Fourth Proportional to 10,361.88, 14,299.20 and 5,646.06

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Solution

The fourth proportional to 10,361.88, 14,299.20 and 5,646.06 is: 7,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.88 : 14,299.20 = 5,646.06 : x
  2. Step 2: Convert to fraction form
    10,361.88/14,299.20 = 5,646.06/x
  3. Step 3: Cross multiply
    10,361.88x = 14,299.20 × 5,646.06
  4. Step 4: Simplify right side
    10,361.88x = 80,734,141.15
  5. Step 5: Solve for x
    x = 80,734,141.15/10,361.88
  6. Step 6: Final answer
    x = 7,791.46

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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.