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Finding the Fourth Proportional to 11,768.08, 16,222.80 and 8,404.96

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Solution

The fourth proportional to 11,768.08, 16,222.80 and 8,404.96 is: 11,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.08 : 16,222.80 = 8,404.96 : x
  2. Step 2: Convert to fraction form
    11,768.08/16,222.80 = 8,404.96/x
  3. Step 3: Cross multiply
    11,768.08x = 16,222.80 × 8,404.96
  4. Step 4: Simplify right side
    11,768.08x = 136,351,985.09
  5. Step 5: Solve for x
    x = 136,351,985.09/11,768.08
  6. Step 6: Final answer
    x = 11,586.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.