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Finding the Fourth Proportional to 12,893, 17,791.38 and 7,303.88

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Solution

The fourth proportional to 12,893, 17,791.38 and 7,303.88 is: 10,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893 : 17,791.38 = 7,303.88 : x
  2. Step 2: Convert to fraction form
    12,893/17,791.38 = 7,303.88/x
  3. Step 3: Cross multiply
    12,893x = 17,791.38 × 7,303.88
  4. Step 4: Simplify right side
    12,893x = 129,946,104.55
  5. Step 5: Solve for x
    x = 129,946,104.55/12,893
  6. Step 6: Final answer
    x = 10,078.81

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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.