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Finding the Fourth Proportional to 10,791.42, 14,891.14 and 7,960.34

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Solution

The fourth proportional to 10,791.42, 14,891.14 and 7,960.34 is: 10,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.42 : 14,891.14 = 7,960.34 : x
  2. Step 2: Convert to fraction form
    10,791.42/14,891.14 = 7,960.34/x
  3. Step 3: Cross multiply
    10,791.42x = 14,891.14 × 7,960.34
  4. Step 4: Simplify right side
    10,791.42x = 118,538,537.39
  5. Step 5: Solve for x
    x = 118,538,537.39/10,791.42
  6. Step 6: Final answer
    x = 10,984.52

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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.