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Finding the Fourth Proportional to 11,906.08, 17,876.40 and 8,461.60

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Solution

The fourth proportional to 11,906.08, 17,876.40 and 8,461.60 is: 12,704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.08 : 17,876.40 = 8,461.60 : x
  2. Step 2: Convert to fraction form
    11,906.08/17,876.40 = 8,461.60/x
  3. Step 3: Cross multiply
    11,906.08x = 17,876.40 × 8,461.60
  4. Step 4: Simplify right side
    11,906.08x = 151,262,946.24
  5. Step 5: Solve for x
    x = 151,262,946.24/11,906.08
  6. Step 6: Final answer
    x = 12,704.68

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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.