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Finding the Fourth Proportional to 8,185.78, 11,297.44 and 4,998.40

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Solution

The fourth proportional to 8,185.78, 11,297.44 and 4,998.40 is: 6,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.78 : 11,297.44 = 4,998.40 : x
  2. Step 2: Convert to fraction form
    8,185.78/11,297.44 = 4,998.40/x
  3. Step 3: Cross multiply
    8,185.78x = 11,297.44 × 4,998.40
  4. Step 4: Simplify right side
    8,185.78x = 56,469,124.10
  5. Step 5: Solve for x
    x = 56,469,124.10/8,185.78
  6. Step 6: Final answer
    x = 6,898.44

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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.