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Finding the Fourth Proportional to 11,461.08, 17,197.98 and 6,195.96

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Solution

The fourth proportional to 11,461.08, 17,197.98 and 6,195.96 is: 9,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.08 : 17,197.98 = 6,195.96 : x
  2. Step 2: Convert to fraction form
    11,461.08/17,197.98 = 6,195.96/x
  3. Step 3: Cross multiply
    11,461.08x = 17,197.98 × 6,195.96
  4. Step 4: Simplify right side
    11,461.08x = 106,557,996.16
  5. Step 5: Solve for x
    x = 106,557,996.16/11,461.08
  6. Step 6: Final answer
    x = 9,297.38

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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.