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Finding the Fourth Proportional to 11,855.36, 16,361.19 and 7,873.81

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Solution

The fourth proportional to 11,855.36, 16,361.19 and 7,873.81 is: 10,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.36 : 16,361.19 = 7,873.81 : x
  2. Step 2: Convert to fraction form
    11,855.36/16,361.19 = 7,873.81/x
  3. Step 3: Cross multiply
    11,855.36x = 16,361.19 × 7,873.81
  4. Step 4: Simplify right side
    11,855.36x = 128,824,860.53
  5. Step 5: Solve for x
    x = 128,824,860.53/11,855.36
  6. Step 6: Final answer
    x = 10,866.38

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Why These Related Problems?

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