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Finding the Fourth Proportional to 10,406.94, 14,361.58 and 5,691.22

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Solution

The fourth proportional to 10,406.94, 14,361.58 and 5,691.22 is: 7,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.94 : 14,361.58 = 5,691.22 : x
  2. Step 2: Convert to fraction form
    10,406.94/14,361.58 = 5,691.22/x
  3. Step 3: Cross multiply
    10,406.94x = 14,361.58 × 5,691.22
  4. Step 4: Simplify right side
    10,406.94x = 81,734,911.33
  5. Step 5: Solve for x
    x = 81,734,911.33/10,406.94
  6. Step 6: Final answer
    x = 7,853.89

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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.