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Finding the Fourth Proportional to 12,383.56, 17,089.31 and 7,078.49

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Solution

The fourth proportional to 12,383.56, 17,089.31 and 7,078.49 is: 9,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.56 : 17,089.31 = 7,078.49 : x
  2. Step 2: Convert to fraction form
    12,383.56/17,089.31 = 7,078.49/x
  3. Step 3: Cross multiply
    12,383.56x = 17,089.31 × 7,078.49
  4. Step 4: Simplify right side
    12,383.56x = 120,966,593.30
  5. Step 5: Solve for x
    x = 120,966,593.30/12,383.56
  6. Step 6: Final answer
    x = 9,768.32

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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.