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Finding the Fourth Proportional to 10,923.80, 16,344.39 and 6,692

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Solution

The fourth proportional to 10,923.80, 16,344.39 and 6,692 is: 10,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.80 : 16,344.39 = 6,692 : x
  2. Step 2: Convert to fraction form
    10,923.80/16,344.39 = 6,692/x
  3. Step 3: Cross multiply
    10,923.80x = 16,344.39 × 6,692
  4. Step 4: Simplify right side
    10,923.80x = 109,376,657.88
  5. Step 5: Solve for x
    x = 109,376,657.88/10,923.80
  6. Step 6: Final answer
    x = 10,012.69

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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.