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Finding the Fourth Proportional to 10,922.70, 16,388.19 and 6,543.30

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Solution

The fourth proportional to 10,922.70, 16,388.19 and 6,543.30 is: 9,817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.70 : 16,388.19 = 6,543.30 : x
  2. Step 2: Convert to fraction form
    10,922.70/16,388.19 = 6,543.30/x
  3. Step 3: Cross multiply
    10,922.70x = 16,388.19 × 6,543.30
  4. Step 4: Simplify right side
    10,922.70x = 107,232,843.63
  5. Step 5: Solve for x
    x = 107,232,843.63/10,922.70
  6. Step 6: Final answer
    x = 9,817.43

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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.