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Finding the Fourth Proportional to 12,383.82, 17,089.38 and 7,078.59

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Solution

The fourth proportional to 12,383.82, 17,089.38 and 7,078.59 is: 9,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.82 : 17,089.38 = 7,078.59 : x
  2. Step 2: Convert to fraction form
    12,383.82/17,089.38 = 7,078.59/x
  3. Step 3: Cross multiply
    12,383.82x = 17,089.38 × 7,078.59
  4. Step 4: Simplify right side
    12,383.82x = 120,968,714.37
  5. Step 5: Solve for x
    x = 120,968,714.37/12,383.82
  6. Step 6: Final answer
    x = 9,768.29

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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.