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Finding the Fourth Proportional to 10,950.72, 16,436.46 and 6,778.11

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Solution

The fourth proportional to 10,950.72, 16,436.46 and 6,778.11 is: 10,173.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.72 : 16,436.46 = 6,778.11 : x
  2. Step 2: Convert to fraction form
    10,950.72/16,436.46 = 6,778.11/x
  3. Step 3: Cross multiply
    10,950.72x = 16,436.46 × 6,778.11
  4. Step 4: Simplify right side
    10,950.72x = 111,408,133.89
  5. Step 5: Solve for x
    x = 111,408,133.89/10,950.72
  6. Step 6: Final answer
    x = 10,173.59

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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.