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Finding the Fourth Proportional to 10,821.37, 16,189.35 and 8,196.45

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Solution

The fourth proportional to 10,821.37, 16,189.35 and 8,196.45 is: 12,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821.37 : 16,189.35 = 8,196.45 : x
  2. Step 2: Convert to fraction form
    10,821.37/16,189.35 = 8,196.45/x
  3. Step 3: Cross multiply
    10,821.37x = 16,189.35 × 8,196.45
  4. Step 4: Simplify right side
    10,821.37x = 132,695,197.81
  5. Step 5: Solve for x
    x = 132,695,197.81/10,821.37
  6. Step 6: Final answer
    x = 12,262.33

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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.