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Finding the Fourth Proportional to 10,996.50, 16,503.60 and 6,255.57

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Solution

The fourth proportional to 10,996.50, 16,503.60 and 6,255.57 is: 9,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.50 : 16,503.60 = 6,255.57 : x
  2. Step 2: Convert to fraction form
    10,996.50/16,503.60 = 6,255.57/x
  3. Step 3: Cross multiply
    10,996.50x = 16,503.60 × 6,255.57
  4. Step 4: Simplify right side
    10,996.50x = 103,239,425.05
  5. Step 5: Solve for x
    x = 103,239,425.05/10,996.50
  6. Step 6: Final answer
    x = 9,388.39

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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.