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Finding the Fourth Proportional to 11,805.50, 16,291.60 and 7,089.82

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Solution

The fourth proportional to 11,805.50, 16,291.60 and 7,089.82 is: 9,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.50 : 16,291.60 = 7,089.82 : x
  2. Step 2: Convert to fraction form
    11,805.50/16,291.60 = 7,089.82/x
  3. Step 3: Cross multiply
    11,805.50x = 16,291.60 × 7,089.82
  4. Step 4: Simplify right side
    11,805.50x = 115,504,511.51
  5. Step 5: Solve for x
    x = 115,504,511.51/11,805.50
  6. Step 6: Final answer
    x = 9,783.96

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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.