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Finding the Fourth Proportional to 12,361.93, 17,058.81 and 7,057.24

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Solution

The fourth proportional to 12,361.93, 17,058.81 and 7,057.24 is: 9,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.93 : 17,058.81 = 7,057.24 : x
  2. Step 2: Convert to fraction form
    12,361.93/17,058.81 = 7,057.24/x
  3. Step 3: Cross multiply
    12,361.93x = 17,058.81 × 7,057.24
  4. Step 4: Simplify right side
    12,361.93x = 120,388,116.28
  5. Step 5: Solve for x
    x = 120,388,116.28/12,361.93
  6. Step 6: Final answer
    x = 9,738.62

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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.