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Finding the Fourth Proportional to 12,579.96, 17,361.25 and 7,544.09

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Solution

The fourth proportional to 12,579.96, 17,361.25 and 7,544.09 is: 10,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,579.96 : 17,361.25 = 7,544.09 : x
  2. Step 2: Convert to fraction form
    12,579.96/17,361.25 = 7,544.09/x
  3. Step 3: Cross multiply
    12,579.96x = 17,361.25 × 7,544.09
  4. Step 4: Simplify right side
    12,579.96x = 130,974,770.01
  5. Step 5: Solve for x
    x = 130,974,770.01/12,579.96
  6. Step 6: Final answer
    x = 10,411.38

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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.