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Finding the Fourth Proportional to 11,783.44, 16,265.34 and 7,805.84

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Solution

The fourth proportional to 11,783.44, 16,265.34 and 7,805.84 is: 10,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.44 : 16,265.34 = 7,805.84 : x
  2. Step 2: Convert to fraction form
    11,783.44/16,265.34 = 7,805.84/x
  3. Step 3: Cross multiply
    11,783.44x = 16,265.34 × 7,805.84
  4. Step 4: Simplify right side
    11,783.44x = 126,964,560.26
  5. Step 5: Solve for x
    x = 126,964,560.26/11,783.44
  6. Step 6: Final answer
    x = 10,774.83

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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.