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Finding the Fourth Proportional to 10,361.52, 14,298.93 and 5,645.84

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Solution

The fourth proportional to 10,361.52, 14,298.93 and 5,645.84 is: 7,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.52 : 14,298.93 = 5,645.84 : x
  2. Step 2: Convert to fraction form
    10,361.52/14,298.93 = 5,645.84/x
  3. Step 3: Cross multiply
    10,361.52x = 14,298.93 × 5,645.84
  4. Step 4: Simplify right side
    10,361.52x = 80,729,399.46
  5. Step 5: Solve for x
    x = 80,729,399.46/10,361.52
  6. Step 6: Final answer
    x = 7,791.27

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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.