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Finding the Fourth Proportional to 12,790.50, 17,652 and 7,202.58

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Solution

The fourth proportional to 12,790.50, 17,652 and 7,202.58 is: 9,940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,790.50 : 17,652 = 7,202.58 : x
  2. Step 2: Convert to fraction form
    12,790.50/17,652 = 7,202.58/x
  3. Step 3: Cross multiply
    12,790.50x = 17,652 × 7,202.58
  4. Step 4: Simplify right side
    12,790.50x = 127,139,942.16
  5. Step 5: Solve for x
    x = 127,139,942.16/12,790.50
  6. Step 6: Final answer
    x = 9,940.19

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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.