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Finding the Fourth Proportional to 10,852.70, 16,279.05 and 10,196.60

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Solution

The fourth proportional to 10,852.70, 16,279.05 and 10,196.60 is: 15,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.70 : 16,279.05 = 10,196.60 : x
  2. Step 2: Convert to fraction form
    10,852.70/16,279.05 = 10,196.60/x
  3. Step 3: Cross multiply
    10,852.70x = 16,279.05 × 10,196.60
  4. Step 4: Simplify right side
    10,852.70x = 165,990,961.23
  5. Step 5: Solve for x
    x = 165,990,961.23/10,852.70
  6. Step 6: Final answer
    x = 15,294.90

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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.