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Finding the Fourth Proportional to 11,377.38, 17,078.22 and 6,456.63

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Solution

The fourth proportional to 11,377.38, 17,078.22 and 6,456.63 is: 9,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.38 : 17,078.22 = 6,456.63 : x
  2. Step 2: Convert to fraction form
    11,377.38/17,078.22 = 6,456.63/x
  3. Step 3: Cross multiply
    11,377.38x = 17,078.22 × 6,456.63
  4. Step 4: Simplify right side
    11,377.38x = 110,267,747.60
  5. Step 5: Solve for x
    x = 110,267,747.60/11,377.38
  6. Step 6: Final answer
    x = 9,691.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.