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Finding the Fourth Proportional to 10,774.76, 16,165.53 and 6,850.49

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Solution

The fourth proportional to 10,774.76, 16,165.53 and 6,850.49 is: 10,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.76 : 16,165.53 = 6,850.49 : x
  2. Step 2: Convert to fraction form
    10,774.76/16,165.53 = 6,850.49/x
  3. Step 3: Cross multiply
    10,774.76x = 16,165.53 × 6,850.49
  4. Step 4: Simplify right side
    10,774.76x = 110,741,720.78
  5. Step 5: Solve for x
    x = 110,741,720.78/10,774.76
  6. Step 6: Final answer
    x = 10,277.89

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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.