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Finding the Fourth Proportional to 12,747.83, 17,592.22 and 7,083.09

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Solution

The fourth proportional to 12,747.83, 17,592.22 and 7,083.09 is: 9,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.83 : 17,592.22 = 7,083.09 : x
  2. Step 2: Convert to fraction form
    12,747.83/17,592.22 = 7,083.09/x
  3. Step 3: Cross multiply
    12,747.83x = 17,592.22 × 7,083.09
  4. Step 4: Simplify right side
    12,747.83x = 124,607,286.41
  5. Step 5: Solve for x
    x = 124,607,286.41/12,747.83
  6. Step 6: Final answer
    x = 9,774.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.