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Finding the Fourth Proportional to 12,791.72, 17,653.38 and 7,203.08

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Solution

The fourth proportional to 12,791.72, 17,653.38 and 7,203.08 is: 9,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.72 : 17,653.38 = 7,203.08 : x
  2. Step 2: Convert to fraction form
    12,791.72/17,653.38 = 7,203.08/x
  3. Step 3: Cross multiply
    12,791.72x = 17,653.38 × 7,203.08
  4. Step 4: Simplify right side
    12,791.72x = 127,158,708.41
  5. Step 5: Solve for x
    x = 127,158,708.41/12,791.72
  6. Step 6: Final answer
    x = 9,940.70

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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.