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Finding the Fourth Proportional to 10,740.88, 16,093.09 and 5,196.84

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Solution

The fourth proportional to 10,740.88, 16,093.09 and 5,196.84 is: 7,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740.88 : 16,093.09 = 5,196.84 : x
  2. Step 2: Convert to fraction form
    10,740.88/16,093.09 = 5,196.84/x
  3. Step 3: Cross multiply
    10,740.88x = 16,093.09 × 5,196.84
  4. Step 4: Simplify right side
    10,740.88x = 83,633,213.84
  5. Step 5: Solve for x
    x = 83,633,213.84/10,740.88
  6. Step 6: Final answer
    x = 7,786.44

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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.